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Finding the Third Proportional to 485,464 and 753,755

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Solution

The third proportional to 485,464 and 753,755 is: 1,170,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,464 : 753,755 = 753,755 : x
  2. Step 2: Convert to fraction form
    485,464/753,755 = 753,755/x
  3. Step 3: Cross multiply
    485,464x = 753,755 × 753,755
  4. Step 4: Simplify right side
    485,464x = 568,146,600,025
  5. Step 5: Solve for x
    x = 568,146,600,025/485,464
  6. Step 6: Final answer
    x = 1,170,316.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.