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Finding the Third Proportional to 66,650 and 103,161

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Solution

The third proportional to 66,650 and 103,161 is: 159,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,650 : 103,161 = 103,161 : x
  2. Step 2: Convert to fraction form
    66,650/103,161 = 103,161/x
  3. Step 3: Cross multiply
    66,650x = 103,161 × 103,161
  4. Step 4: Simplify right side
    66,650x = 10,642,191,921
  5. Step 5: Solve for x
    x = 10,642,191,921/66,650
  6. Step 6: Final answer
    x = 159,672.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.