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Finding the Third Proportional to 457,690.50 and 665,759.25

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Solution

The third proportional to 457,690.50 and 665,759.25 is: 968,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,690.50 : 665,759.25 = 665,759.25 : x
  2. Step 2: Convert to fraction form
    457,690.50/665,759.25 = 665,759.25/x
  3. Step 3: Cross multiply
    457,690.50x = 665,759.25 × 665,759.25
  4. Step 4: Simplify right side
    457,690.50x = 443,235,378,960.56
  5. Step 5: Solve for x
    x = 443,235,378,960.56/457,690.50
  6. Step 6: Final answer
    x = 968,417.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.