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Finding the Third Proportional to 411,423.68 and 545,915.21

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Solution

The third proportional to 411,423.68 and 545,915.21 is: 724,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,423.68 : 545,915.21 = 545,915.21 : x
  2. Step 2: Convert to fraction form
    411,423.68/545,915.21 = 545,915.21/x
  3. Step 3: Cross multiply
    411,423.68x = 545,915.21 × 545,915.21
  4. Step 4: Simplify right side
    411,423.68x = 298,023,421,797.90
  5. Step 5: Solve for x
    x = 298,023,421,797.90/411,423.68
  6. Step 6: Final answer
    x = 724,371.10

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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.