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Finding the Third Proportional to 286,229.25 and 420,987.38

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Solution

The third proportional to 286,229.25 and 420,987.38 is: 619,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,229.25 : 420,987.38 = 420,987.38 : x
  2. Step 2: Convert to fraction form
    286,229.25/420,987.38 = 420,987.38/x
  3. Step 3: Cross multiply
    286,229.25x = 420,987.38 × 420,987.38
  4. Step 4: Simplify right side
    286,229.25x = 177,230,369,909.39
  5. Step 5: Solve for x
    x = 177,230,369,909.39/286,229.25
  6. Step 6: Final answer
    x = 619,190.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.