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Finding the Third Proportional to 457,219.69 and 679,207.78

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Solution

The third proportional to 457,219.69 and 679,207.78 is: 1,008,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,219.69 : 679,207.78 = 679,207.78 : x
  2. Step 2: Convert to fraction form
    457,219.69/679,207.78 = 679,207.78/x
  3. Step 3: Cross multiply
    457,219.69x = 679,207.78 × 679,207.78
  4. Step 4: Simplify right side
    457,219.69x = 461,323,210,110.55
  5. Step 5: Solve for x
    x = 461,323,210,110.55/457,219.69
  6. Step 6: Final answer
    x = 1,008,974.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.