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Finding the Third Proportional to 132,716.25 and 288,758.25

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Solution

The third proportional to 132,716.25 and 288,758.25 is: 628,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,716.25 : 288,758.25 = 288,758.25 : x
  2. Step 2: Convert to fraction form
    132,716.25/288,758.25 = 288,758.25/x
  3. Step 3: Cross multiply
    132,716.25x = 288,758.25 × 288,758.25
  4. Step 4: Simplify right side
    132,716.25x = 83,381,326,943.06
  5. Step 5: Solve for x
    x = 83,381,326,943.06/132,716.25
  6. Step 6: Final answer
    x = 628,267.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.