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Finding the Third Proportional to 157,287 and 339,602

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Solution

The third proportional to 157,287 and 339,602 is: 733,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,287 : 339,602 = 339,602 : x
  2. Step 2: Convert to fraction form
    157,287/339,602 = 339,602/x
  3. Step 3: Cross multiply
    157,287x = 339,602 × 339,602
  4. Step 4: Simplify right side
    157,287x = 115,329,518,404
  5. Step 5: Solve for x
    x = 115,329,518,404/157,287
  6. Step 6: Final answer
    x = 733,242.53

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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.