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Finding the Third Proportional to 485,436 and 728,154

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Solution

The third proportional to 485,436 and 728,154 is: 1,092,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,436 : 728,154 = 728,154 : x
  2. Step 2: Convert to fraction form
    485,436/728,154 = 728,154/x
  3. Step 3: Cross multiply
    485,436x = 728,154 × 728,154
  4. Step 4: Simplify right side
    485,436x = 530,208,247,716
  5. Step 5: Solve for x
    x = 530,208,247,716/485,436
  6. Step 6: Final answer
    x = 1,092,231

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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.