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Finding the Third Proportional to 485,462 and 753,754

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Solution

The third proportional to 485,462 and 753,754 is: 1,170,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,462 : 753,754 = 753,754 : x
  2. Step 2: Convert to fraction form
    485,462/753,754 = 753,754/x
  3. Step 3: Cross multiply
    485,462x = 753,754 × 753,754
  4. Step 4: Simplify right side
    485,462x = 568,145,092,516
  5. Step 5: Solve for x
    x = 568,145,092,516/485,462
  6. Step 6: Final answer
    x = 1,170,318.36

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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.