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Finding the Third Proportional to 132,560 and 200,770.50

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Solution

The third proportional to 132,560 and 200,770.50 is: 304,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,560 : 200,770.50 = 200,770.50 : x
  2. Step 2: Convert to fraction form
    132,560/200,770.50 = 200,770.50/x
  3. Step 3: Cross multiply
    132,560x = 200,770.50 × 200,770.50
  4. Step 4: Simplify right side
    132,560x = 40,308,793,670.25
  5. Step 5: Solve for x
    x = 40,308,793,670.25/132,560
  6. Step 6: Final answer
    x = 304,079.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.