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Finding the Third Proportional to 420,040 and 645,612

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Solution

The third proportional to 420,040 and 645,612 is: 992,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,040 : 645,612 = 645,612 : x
  2. Step 2: Convert to fraction form
    420,040/645,612 = 645,612/x
  3. Step 3: Cross multiply
    420,040x = 645,612 × 645,612
  4. Step 4: Simplify right side
    420,040x = 416,814,854,544
  5. Step 5: Solve for x
    x = 416,814,854,544/420,040
  6. Step 6: Final answer
    x = 992,321.81

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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.