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Finding the Third Proportional to 478,755 and 728,079

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Solution

The third proportional to 478,755 and 728,079 is: 1,107,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,755 : 728,079 = 728,079 : x
  2. Step 2: Convert to fraction form
    478,755/728,079 = 728,079/x
  3. Step 3: Cross multiply
    478,755x = 728,079 × 728,079
  4. Step 4: Simplify right side
    478,755x = 530,099,030,241
  5. Step 5: Solve for x
    x = 530,099,030,241/478,755
  6. Step 6: Final answer
    x = 1,107,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.