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Finding the Third Proportional to 392,457 and 532,621

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Solution

The third proportional to 392,457 and 532,621 is: 722,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,457 : 532,621 = 532,621 : x
  2. Step 2: Convert to fraction form
    392,457/532,621 = 532,621/x
  3. Step 3: Cross multiply
    392,457x = 532,621 × 532,621
  4. Step 4: Simplify right side
    392,457x = 283,685,129,641
  5. Step 5: Solve for x
    x = 283,685,129,641/392,457
  6. Step 6: Final answer
    x = 722,843.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.