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Finding the Third Proportional to 157,659 and 338,646

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Solution

The third proportional to 157,659 and 338,646 is: 727,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,659 : 338,646 = 338,646 : x
  2. Step 2: Convert to fraction form
    157,659/338,646 = 338,646/x
  3. Step 3: Cross multiply
    157,659x = 338,646 × 338,646
  4. Step 4: Simplify right side
    157,659x = 114,681,113,316
  5. Step 5: Solve for x
    x = 114,681,113,316/157,659
  6. Step 6: Final answer
    x = 727,399.73

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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.