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Finding the Third Proportional to 485,142 and 737,505

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Solution

The third proportional to 485,142 and 737,505 is: 1,121,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,142 : 737,505 = 737,505 : x
  2. Step 2: Convert to fraction form
    485,142/737,505 = 737,505/x
  3. Step 3: Cross multiply
    485,142x = 737,505 × 737,505
  4. Step 4: Simplify right side
    485,142x = 543,913,625,025
  5. Step 5: Solve for x
    x = 543,913,625,025/485,142
  6. Step 6: Final answer
    x = 1,121,143.14

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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.