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Finding the Third Proportional to 85,779 and 129,772.13

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Solution

The third proportional to 85,779 and 129,772.13 is: 196,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,779 : 129,772.13 = 129,772.13 : x
  2. Step 2: Convert to fraction form
    85,779/129,772.13 = 129,772.13/x
  3. Step 3: Cross multiply
    85,779x = 129,772.13 × 129,772.13
  4. Step 4: Simplify right side
    85,779x = 16,840,804,427.02
  5. Step 5: Solve for x
    x = 16,840,804,427.02/85,779
  6. Step 6: Final answer
    x = 196,327.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.