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Finding the Third Proportional to 440,004.75 and 660,979.13

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Solution

The third proportional to 440,004.75 and 660,979.13 is: 992,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,004.75 : 660,979.13 = 660,979.13 : x
  2. Step 2: Convert to fraction form
    440,004.75/660,979.13 = 660,979.13/x
  3. Step 3: Cross multiply
    440,004.75x = 660,979.13 × 660,979.13
  4. Step 4: Simplify right side
    440,004.75x = 436,893,403,685.77
  5. Step 5: Solve for x
    x = 436,893,403,685.77/440,004.75
  6. Step 6: Final answer
    x = 992,928.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.