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Finding the Third Proportional to 157,918 and 339,260

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Solution

The third proportional to 157,918 and 339,260 is: 728,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,918 : 339,260 = 339,260 : x
  2. Step 2: Convert to fraction form
    157,918/339,260 = 339,260/x
  3. Step 3: Cross multiply
    157,918x = 339,260 × 339,260
  4. Step 4: Simplify right side
    157,918x = 115,097,347,600
  5. Step 5: Solve for x
    x = 115,097,347,600/157,918
  6. Step 6: Final answer
    x = 728,842.49

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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.