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Finding the Third Proportional to 423,840.38 and 636,708.75

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Solution

The third proportional to 423,840.38 and 636,708.75 is: 956,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,840.38 : 636,708.75 = 636,708.75 : x
  2. Step 2: Convert to fraction form
    423,840.38/636,708.75 = 636,708.75/x
  3. Step 3: Cross multiply
    423,840.38x = 636,708.75 × 636,708.75
  4. Step 4: Simplify right side
    423,840.38x = 405,398,032,326.56
  5. Step 5: Solve for x
    x = 405,398,032,326.56/423,840.38
  6. Step 6: Final answer
    x = 956,487.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.