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Finding the Third Proportional to 486,569 and 729,124

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Solution

The third proportional to 486,569 and 729,124 is: 1,092,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,569 : 729,124 = 729,124 : x
  2. Step 2: Convert to fraction form
    486,569/729,124 = 729,124/x
  3. Step 3: Cross multiply
    486,569x = 729,124 × 729,124
  4. Step 4: Simplify right side
    486,569x = 531,621,807,376
  5. Step 5: Solve for x
    x = 531,621,807,376/486,569
  6. Step 6: Final answer
    x = 1,092,592.84

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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.