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Finding the Third Proportional to 420,115.25 and 645,747.25

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Solution

The third proportional to 420,115.25 and 645,747.25 is: 992,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,115.25 : 645,747.25 = 645,747.25 : x
  2. Step 2: Convert to fraction form
    420,115.25/645,747.25 = 645,747.25/x
  3. Step 3: Cross multiply
    420,115.25x = 645,747.25 × 645,747.25
  4. Step 4: Simplify right side
    420,115.25x = 416,989,510,882.56
  5. Step 5: Solve for x
    x = 416,989,510,882.56/420,115.25
  6. Step 6: Final answer
    x = 992,559.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.