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Finding the Third Proportional to 132,711 and 288,750

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Solution

The third proportional to 132,711 and 288,750 is: 628,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,711 : 288,750 = 288,750 : x
  2. Step 2: Convert to fraction form
    132,711/288,750 = 288,750/x
  3. Step 3: Cross multiply
    132,711x = 288,750 × 288,750
  4. Step 4: Simplify right side
    132,711x = 83,376,562,500
  5. Step 5: Solve for x
    x = 83,376,562,500/132,711
  6. Step 6: Final answer
    x = 628,256.61

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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.