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Finding the Third Proportional to 420,113.25 and 645,744.38

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Solution

The third proportional to 420,113.25 and 645,744.38 is: 992,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,113.25 : 645,744.38 = 645,744.38 : x
  2. Step 2: Convert to fraction form
    420,113.25/645,744.38 = 645,744.38/x
  3. Step 3: Cross multiply
    420,113.25x = 645,744.38 × 645,744.38
  4. Step 4: Simplify right side
    420,113.25x = 416,985,797,844.14
  5. Step 5: Solve for x
    x = 416,985,797,844.14/420,113.25
  6. Step 6: Final answer
    x = 992,555.69

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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.