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Finding the Third Proportional to 132,720 and 288,765

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Solution

The third proportional to 132,720 and 288,765 is: 628,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,720 : 288,765 = 288,765 : x
  2. Step 2: Convert to fraction form
    132,720/288,765 = 288,765/x
  3. Step 3: Cross multiply
    132,720x = 288,765 × 288,765
  4. Step 4: Simplify right side
    132,720x = 83,385,225,225
  5. Step 5: Solve for x
    x = 83,385,225,225/132,720
  6. Step 6: Final answer
    x = 628,279.27

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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.