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Finding the Third Proportional to 487,386 and 731,079

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Solution

The third proportional to 487,386 and 731,079 is: 1,096,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,386 : 731,079 = 731,079 : x
  2. Step 2: Convert to fraction form
    487,386/731,079 = 731,079/x
  3. Step 3: Cross multiply
    487,386x = 731,079 × 731,079
  4. Step 4: Simplify right side
    487,386x = 534,476,504,241
  5. Step 5: Solve for x
    x = 534,476,504,241/487,386
  6. Step 6: Final answer
    x = 1,096,618.50

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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.