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Finding the Third Proportional to 414,909.75 and 905,221.50

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Solution

The third proportional to 414,909.75 and 905,221.50 is: 1,974,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,909.75 : 905,221.50 = 905,221.50 : x
  2. Step 2: Convert to fraction form
    414,909.75/905,221.50 = 905,221.50/x
  3. Step 3: Cross multiply
    414,909.75x = 905,221.50 × 905,221.50
  4. Step 4: Simplify right side
    414,909.75x = 819,425,964,062.25
  5. Step 5: Solve for x
    x = 819,425,964,062.25/414,909.75
  6. Step 6: Final answer
    x = 1,974,949.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.