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Finding the Third Proportional to 324,918 and 487,377

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Solution

The third proportional to 324,918 and 487,377 is: 731,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,918 : 487,377 = 487,377 : x
  2. Step 2: Convert to fraction form
    324,918/487,377 = 487,377/x
  3. Step 3: Cross multiply
    324,918x = 487,377 × 487,377
  4. Step 4: Simplify right side
    324,918x = 237,536,340,129
  5. Step 5: Solve for x
    x = 237,536,340,129/324,918
  6. Step 6: Final answer
    x = 731,065.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.