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Finding the Third Proportional to 103,693 and 151,867

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Solution

The third proportional to 103,693 and 151,867 is: 222,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 151,867 = 151,867 : x
  2. Step 2: Convert to fraction form
    103,693/151,867 = 151,867/x
  3. Step 3: Cross multiply
    103,693x = 151,867 × 151,867
  4. Step 4: Simplify right side
    103,693x = 23,063,585,689
  5. Step 5: Solve for x
    x = 23,063,585,689/103,693
  6. Step 6: Final answer
    x = 222,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.