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Finding the Third Proportional to 661,909.50 and 1,428,793.88

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Solution

The third proportional to 661,909.50 and 1,428,793.88 is: 3,084,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,909.50 : 1,428,793.88 = 1,428,793.88 : x
  2. Step 2: Convert to fraction form
    661,909.50/1,428,793.88 = 1,428,793.88/x
  3. Step 3: Cross multiply
    661,909.50x = 1,428,793.88 × 1,428,793.88
  4. Step 4: Simplify right side
    661,909.50x = 2,041,451,937,237.52
  5. Step 5: Solve for x
    x = 2,041,451,937,237.52/661,909.50
  6. Step 6: Final answer
    x = 3,084,185.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.