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Finding the Third Proportional to 142,694 and 307,464

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Solution

The third proportional to 142,694 and 307,464 is: 662,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,694 : 307,464 = 307,464 : x
  2. Step 2: Convert to fraction form
    142,694/307,464 = 307,464/x
  3. Step 3: Cross multiply
    142,694x = 307,464 × 307,464
  4. Step 4: Simplify right side
    142,694x = 94,534,111,296
  5. Step 5: Solve for x
    x = 94,534,111,296/142,694
  6. Step 6: Final answer
    x = 662,495.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.