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Finding the Third Proportional to 108,840 and 168,177.75

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Solution

The third proportional to 108,840 and 168,177.75 is: 259,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,840 : 168,177.75 = 168,177.75 : x
  2. Step 2: Convert to fraction form
    108,840/168,177.75 = 168,177.75/x
  3. Step 3: Cross multiply
    108,840x = 168,177.75 × 168,177.75
  4. Step 4: Simplify right side
    108,840x = 28,283,755,595.06
  5. Step 5: Solve for x
    x = 28,283,755,595.06/108,840
  6. Step 6: Final answer
    x = 259,865.45

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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.