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Finding the Third Proportional to 157,648 and 338,624

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Solution

The third proportional to 157,648 and 338,624 is: 727,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648 : 338,624 = 338,624 : x
  2. Step 2: Convert to fraction form
    157,648/338,624 = 338,624/x
  3. Step 3: Cross multiply
    157,648x = 338,624 × 338,624
  4. Step 4: Simplify right side
    157,648x = 114,666,213,376
  5. Step 5: Solve for x
    x = 114,666,213,376/157,648
  6. Step 6: Final answer
    x = 727,355.97

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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.