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Finding the Third Proportional to 270,540 and 420,876

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Solution

The third proportional to 270,540 and 420,876 is: 654,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,540 : 420,876 = 420,876 : x
  2. Step 2: Convert to fraction form
    270,540/420,876 = 420,876/x
  3. Step 3: Cross multiply
    270,540x = 420,876 × 420,876
  4. Step 4: Simplify right side
    270,540x = 177,136,607,376
  5. Step 5: Solve for x
    x = 177,136,607,376/270,540
  6. Step 6: Final answer
    x = 654,752.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.