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Finding the Third Proportional to 392,636 and 532,362

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Solution

The third proportional to 392,636 and 532,362 is: 721,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,636 : 532,362 = 532,362 : x
  2. Step 2: Convert to fraction form
    392,636/532,362 = 532,362/x
  3. Step 3: Cross multiply
    392,636x = 532,362 × 532,362
  4. Step 4: Simplify right side
    392,636x = 283,409,299,044
  5. Step 5: Solve for x
    x = 283,409,299,044/392,636
  6. Step 6: Final answer
    x = 721,811.80

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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.