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Finding the Third Proportional to 270,517.50 and 420,524.25

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Solution

The third proportional to 270,517.50 and 420,524.25 is: 653,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,517.50 : 420,524.25 = 420,524.25 : x
  2. Step 2: Convert to fraction form
    270,517.50/420,524.25 = 420,524.25/x
  3. Step 3: Cross multiply
    270,517.50x = 420,524.25 × 420,524.25
  4. Step 4: Simplify right side
    270,517.50x = 176,840,644,838.06
  5. Step 5: Solve for x
    x = 176,840,644,838.06/270,517.50
  6. Step 6: Final answer
    x = 653,712.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.