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Finding the Third Proportional to 66,434 and 102,867

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Solution

The third proportional to 66,434 and 102,867 is: 159,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,434 : 102,867 = 102,867 : x
  2. Step 2: Convert to fraction form
    66,434/102,867 = 102,867/x
  3. Step 3: Cross multiply
    66,434x = 102,867 × 102,867
  4. Step 4: Simplify right side
    66,434x = 10,581,619,689
  5. Step 5: Solve for x
    x = 10,581,619,689/66,434
  6. Step 6: Final answer
    x = 159,280.18

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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.