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Finding the Third Proportional to 142,248,348,373.50 and 307,168,616,592

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Solution

The third proportional to 142,248,348,373.50 and 307,168,616,592 is: 663,294,583,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,248,348,373.50 : 307,168,616,592 = 307,168,616,592 : x
  2. Step 2: Convert to fraction form
    142,248,348,373.50/307,168,616,592 = 307,168,616,592/x
  3. Step 3: Cross multiply
    142,248,348,373.50x = 307,168,616,592 × 307,168,616,592
  4. Step 4: Simplify right side
    142,248,348,373.50x = 94,352,559,019,043,101,605,888
  5. Step 5: Solve for x
    x = 94,352,559,019,043,101,605,888/142,248,348,373.50
  6. Step 6: Final answer
    x = 663,294,583,718.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.