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Finding the Third Proportional to 411,432 and 545,925

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Solution

The third proportional to 411,432 and 545,925 is: 724,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,432 : 545,925 = 545,925 : x
  2. Step 2: Convert to fraction form
    411,432/545,925 = 545,925/x
  3. Step 3: Cross multiply
    411,432x = 545,925 × 545,925
  4. Step 4: Simplify right side
    411,432x = 298,034,105,625
  5. Step 5: Solve for x
    x = 298,034,105,625/411,432
  6. Step 6: Final answer
    x = 724,382.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.