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Finding the Third Proportional to 155,418 and 335,644

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Solution

The third proportional to 155,418 and 335,644 is: 724,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,418 : 335,644 = 335,644 : x
  2. Step 2: Convert to fraction form
    155,418/335,644 = 335,644/x
  3. Step 3: Cross multiply
    155,418x = 335,644 × 335,644
  4. Step 4: Simplify right side
    155,418x = 112,656,894,736
  5. Step 5: Solve for x
    x = 112,656,894,736/155,418
  6. Step 6: Final answer
    x = 724,863.88

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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.