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Finding the Third Proportional to 399,549 and 872,727

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Solution

The third proportional to 399,549 and 872,727 is: 1,906,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,549 : 872,727 = 872,727 : x
  2. Step 2: Convert to fraction form
    399,549/872,727 = 872,727/x
  3. Step 3: Cross multiply
    399,549x = 872,727 × 872,727
  4. Step 4: Simplify right side
    399,549x = 761,652,416,529
  5. Step 5: Solve for x
    x = 761,652,416,529/399,549
  6. Step 6: Final answer
    x = 1,906,280.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.