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Finding the Third Proportional to 120,854 and 169,887

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Solution

The third proportional to 120,854 and 169,887 is: 238,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854 : 169,887 = 169,887 : x
  2. Step 2: Convert to fraction form
    120,854/169,887 = 169,887/x
  3. Step 3: Cross multiply
    120,854x = 169,887 × 169,887
  4. Step 4: Simplify right side
    120,854x = 28,861,592,769
  5. Step 5: Solve for x
    x = 28,861,592,769/120,854
  6. Step 6: Final answer
    x = 238,813.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.