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Finding the Third Proportional to 157,107 and 339,117

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Solution

The third proportional to 157,107 and 339,117 is: 731,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,107 : 339,117 = 339,117 : x
  2. Step 2: Convert to fraction form
    157,107/339,117 = 339,117/x
  3. Step 3: Cross multiply
    157,107x = 339,117 × 339,117
  4. Step 4: Simplify right side
    157,107x = 115,000,339,689
  5. Step 5: Solve for x
    x = 115,000,339,689/157,107
  6. Step 6: Final answer
    x = 731,987.37

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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.