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Finding the Third Proportional to 485,438 and 728,157

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Solution

The third proportional to 485,438 and 728,157 is: 1,092,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,438 : 728,157 = 728,157 : x
  2. Step 2: Convert to fraction form
    485,438/728,157 = 728,157/x
  3. Step 3: Cross multiply
    485,438x = 728,157 × 728,157
  4. Step 4: Simplify right side
    485,438x = 530,212,616,649
  5. Step 5: Solve for x
    x = 530,212,616,649/485,438
  6. Step 6: Final answer
    x = 1,092,235.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.