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Finding the Third Proportional to 457,215.75 and 679,200.19

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Solution

The third proportional to 457,215.75 and 679,200.19 is: 1,008,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,215.75 : 679,200.19 = 679,200.19 : x
  2. Step 2: Convert to fraction form
    457,215.75/679,200.19 = 679,200.19/x
  3. Step 3: Cross multiply
    457,215.75x = 679,200.19 × 679,200.19
  4. Step 4: Simplify right side
    457,215.75x = 461,312,894,700.04
  5. Step 5: Solve for x
    x = 461,312,894,700.04/457,215.75
  6. Step 6: Final answer
    x = 1,008,961.08

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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.