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Finding the Third Proportional to 132,165.42 and 288,144.84

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Solution

The third proportional to 132,165.42 and 288,144.84 is: 628,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,165.42 : 288,144.84 = 288,144.84 : x
  2. Step 2: Convert to fraction form
    132,165.42/288,144.84 = 288,144.84/x
  3. Step 3: Cross multiply
    132,165.42x = 288,144.84 × 288,144.84
  4. Step 4: Simplify right side
    132,165.42x = 83,027,450,979.71
  5. Step 5: Solve for x
    x = 83,027,450,979.71/132,165.42
  6. Step 6: Final answer
    x = 628,208.57

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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.