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Finding the Third Proportional to 109,490 and 169,867

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Solution

The third proportional to 109,490 and 169,867 is: 263,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,490 : 169,867 = 169,867 : x
  2. Step 2: Convert to fraction form
    109,490/169,867 = 169,867/x
  3. Step 3: Cross multiply
    109,490x = 169,867 × 169,867
  4. Step 4: Simplify right side
    109,490x = 28,854,797,689
  5. Step 5: Solve for x
    x = 28,854,797,689/109,490
  6. Step 6: Final answer
    x = 263,538.20

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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.