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Finding the Third Proportional to 401,872 and 547,280

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Solution

The third proportional to 401,872 and 547,280 is: 745,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,872 : 547,280 = 547,280 : x
  2. Step 2: Convert to fraction form
    401,872/547,280 = 547,280/x
  3. Step 3: Cross multiply
    401,872x = 547,280 × 547,280
  4. Step 4: Simplify right side
    401,872x = 299,515,398,400
  5. Step 5: Solve for x
    x = 299,515,398,400/401,872
  6. Step 6: Final answer
    x = 745,300.49

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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.