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Finding the Third Proportional to 45,119 and 66,139

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Solution

The third proportional to 45,119 and 66,139 is: 96,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,119 : 66,139 = 66,139 : x
  2. Step 2: Convert to fraction form
    45,119/66,139 = 66,139/x
  3. Step 3: Cross multiply
    45,119x = 66,139 × 66,139
  4. Step 4: Simplify right side
    45,119x = 4,374,367,321
  5. Step 5: Solve for x
    x = 4,374,367,321/45,119
  6. Step 6: Final answer
    x = 96,951.78

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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.