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Finding the Third Proportional to 411,428 and 545,920

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Solution

The third proportional to 411,428 and 545,920 is: 724,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,428 : 545,920 = 545,920 : x
  2. Step 2: Convert to fraction form
    411,428/545,920 = 545,920/x
  3. Step 3: Cross multiply
    411,428x = 545,920 × 545,920
  4. Step 4: Simplify right side
    411,428x = 298,028,646,400
  5. Step 5: Solve for x
    x = 298,028,646,400/411,428
  6. Step 6: Final answer
    x = 724,376.19

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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.