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Finding the Third Proportional to 157,423 and 339,722

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Solution

The third proportional to 157,423 and 339,722 is: 733,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423 : 339,722 = 339,722 : x
  2. Step 2: Convert to fraction form
    157,423/339,722 = 339,722/x
  3. Step 3: Cross multiply
    157,423x = 339,722 × 339,722
  4. Step 4: Simplify right side
    157,423x = 115,411,037,284
  5. Step 5: Solve for x
    x = 115,411,037,284/157,423
  6. Step 6: Final answer
    x = 733,126.91

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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.