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Finding the Third Proportional to 407,149.50 and 668,842.50

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Solution

The third proportional to 407,149.50 and 668,842.50 is: 1,098,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,149.50 : 668,842.50 = 668,842.50 : x
  2. Step 2: Convert to fraction form
    407,149.50/668,842.50 = 668,842.50/x
  3. Step 3: Cross multiply
    407,149.50x = 668,842.50 × 668,842.50
  4. Step 4: Simplify right side
    407,149.50x = 447,350,289,806.25
  5. Step 5: Solve for x
    x = 447,350,289,806.25/407,149.50
  6. Step 6: Final answer
    x = 1,098,737.17

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.