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Finding the Third Proportional to 157,156.50 and 339,207

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Solution

The third proportional to 157,156.50 and 339,207 is: 732,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,156.50 : 339,207 = 339,207 : x
  2. Step 2: Convert to fraction form
    157,156.50/339,207 = 339,207/x
  3. Step 3: Cross multiply
    157,156.50x = 339,207 × 339,207
  4. Step 4: Simplify right side
    157,156.50x = 115,061,388,849
  5. Step 5: Solve for x
    x = 115,061,388,849/157,156.50
  6. Step 6: Final answer
    x = 732,145.27

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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.