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Finding the Third Proportional to 399,551 and 872,731

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Solution

The third proportional to 399,551 and 872,731 is: 1,906,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,551 : 872,731 = 872,731 : x
  2. Step 2: Convert to fraction form
    399,551/872,731 = 872,731/x
  3. Step 3: Cross multiply
    399,551x = 872,731 × 872,731
  4. Step 4: Simplify right side
    399,551x = 761,659,398,361
  5. Step 5: Solve for x
    x = 761,659,398,361/399,551
  6. Step 6: Final answer
    x = 1,906,288.30

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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.