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Finding the Third Proportional to 485,460 and 753,750

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Solution

The third proportional to 485,460 and 753,750 is: 1,170,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,460 : 753,750 = 753,750 : x
  2. Step 2: Convert to fraction form
    485,460/753,750 = 753,750/x
  3. Step 3: Cross multiply
    485,460x = 753,750 × 753,750
  4. Step 4: Simplify right side
    485,460x = 568,139,062,500
  5. Step 5: Solve for x
    x = 568,139,062,500/485,460
  6. Step 6: Final answer
    x = 1,170,310.76

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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.