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Finding the Third Proportional to 419,562.38 and 645,271.13

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Solution

The third proportional to 419,562.38 and 645,271.13 is: 992,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,562.38 : 645,271.13 = 645,271.13 : x
  2. Step 2: Convert to fraction form
    419,562.38/645,271.13 = 645,271.13/x
  3. Step 3: Cross multiply
    419,562.38x = 645,271.13 × 645,271.13
  4. Step 4: Simplify right side
    419,562.38x = 416,374,824,758.77
  5. Step 5: Solve for x
    x = 416,374,824,758.77/419,562.38
  6. Step 6: Final answer
    x = 992,402.68

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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.