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Finding the Third Proportional to 157,657 and 338,642

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Solution

The third proportional to 157,657 and 338,642 is: 727,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,657 : 338,642 = 338,642 : x
  2. Step 2: Convert to fraction form
    157,657/338,642 = 338,642/x
  3. Step 3: Cross multiply
    157,657x = 338,642 × 338,642
  4. Step 4: Simplify right side
    157,657x = 114,678,404,164
  5. Step 5: Solve for x
    x = 114,678,404,164/157,657
  6. Step 6: Final answer
    x = 727,391.77

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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.