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Finding the Third Proportional to 145,570,688 and 311,296,768

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Solution

The third proportional to 145,570,688 and 311,296,768 is: 665,694,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570,688 : 311,296,768 = 311,296,768 : x
  2. Step 2: Convert to fraction form
    145,570,688/311,296,768 = 311,296,768/x
  3. Step 3: Cross multiply
    145,570,688x = 311,296,768 × 311,296,768
  4. Step 4: Simplify right side
    145,570,688x = 96,905,677,767,245,824
  5. Step 5: Solve for x
    x = 96,905,677,767,245,824/145,570,688
  6. Step 6: Final answer
    x = 665,694,990.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.