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Finding the Third Proportional to 457,434.75 and 711,064.13

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Solution

The third proportional to 457,434.75 and 711,064.13 is: 1,105,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,434.75 : 711,064.13 = 711,064.13 : x
  2. Step 2: Convert to fraction form
    457,434.75/711,064.13 = 711,064.13/x
  3. Step 3: Cross multiply
    457,434.75x = 711,064.13 × 711,064.13
  4. Step 4: Simplify right side
    457,434.75x = 505,612,189,862.02
  5. Step 5: Solve for x
    x = 505,612,189,862.02/457,434.75
  6. Step 6: Final answer
    x = 1,105,320.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.