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Finding the Third Proportional to 485,475 and 753,772

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Solution

The third proportional to 485,475 and 753,772 is: 1,170,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,475 : 753,772 = 753,772 : x
  2. Step 2: Convert to fraction form
    485,475/753,772 = 753,772/x
  3. Step 3: Cross multiply
    485,475x = 753,772 × 753,772
  4. Step 4: Simplify right side
    485,475x = 568,172,227,984
  5. Step 5: Solve for x
    x = 568,172,227,984/485,475
  6. Step 6: Final answer
    x = 1,170,342.92

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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.