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Finding the Third Proportional to 45,381 and 66,613.50

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Solution

The third proportional to 45,381 and 66,613.50 is: 97,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,381 : 66,613.50 = 66,613.50 : x
  2. Step 2: Convert to fraction form
    45,381/66,613.50 = 66,613.50/x
  3. Step 3: Cross multiply
    45,381x = 66,613.50 × 66,613.50
  4. Step 4: Simplify right side
    45,381x = 4,437,358,382.25
  5. Step 5: Solve for x
    x = 4,437,358,382.25/45,381
  6. Step 6: Final answer
    x = 97,780.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.