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Finding the Third Proportional to 252,226.88 and 420,378.13

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Solution

The third proportional to 252,226.88 and 420,378.13 is: 700,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,226.88 : 420,378.13 = 420,378.13 : x
  2. Step 2: Convert to fraction form
    252,226.88/420,378.13 = 420,378.13/x
  3. Step 3: Cross multiply
    252,226.88x = 420,378.13 × 420,378.13
  4. Step 4: Simplify right side
    252,226.88x = 176,717,776,189.02
  5. Step 5: Solve for x
    x = 176,717,776,189.02/252,226.88
  6. Step 6: Final answer
    x = 700,630.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.