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Finding the Third Proportional to 403,702.31 and 650,452.78

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Solution

The third proportional to 403,702.31 and 650,452.78 is: 1,048,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,702.31 : 650,452.78 = 650,452.78 : x
  2. Step 2: Convert to fraction form
    403,702.31/650,452.78 = 650,452.78/x
  3. Step 3: Cross multiply
    403,702.31x = 650,452.78 × 650,452.78
  4. Step 4: Simplify right side
    403,702.31x = 423,088,820,635.86
  5. Step 5: Solve for x
    x = 423,088,820,635.86/403,702.31
  6. Step 6: Final answer
    x = 1,048,021.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.