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Finding the Third Proportional to 132,718.50 and 288,761.63

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Solution

The third proportional to 132,718.50 and 288,761.63 is: 628,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,718.50 : 288,761.63 = 288,761.63 : x
  2. Step 2: Convert to fraction form
    132,718.50/288,761.63 = 288,761.63/x
  3. Step 3: Cross multiply
    132,718.50x = 288,761.63 × 288,761.63
  4. Step 4: Simplify right side
    132,718.50x = 83,383,276,072.64
  5. Step 5: Solve for x
    x = 83,383,276,072.64/132,718.50
  6. Step 6: Final answer
    x = 628,271.69

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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.