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Finding the Third Proportional to 120,710.25 and 179,718.75

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Solution

The third proportional to 120,710.25 and 179,718.75 is: 267,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,710.25 : 179,718.75 = 179,718.75 : x
  2. Step 2: Convert to fraction form
    120,710.25/179,718.75 = 179,718.75/x
  3. Step 3: Cross multiply
    120,710.25x = 179,718.75 × 179,718.75
  4. Step 4: Simplify right side
    120,710.25x = 32,298,829,101.56
  5. Step 5: Solve for x
    x = 32,298,829,101.56/120,710.25
  6. Step 6: Final answer
    x = 267,573.21

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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.