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Finding the Third Proportional to 108,757.69 and 168,057.28

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Solution

The third proportional to 108,757.69 and 168,057.28 is: 259,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,757.69 : 168,057.28 = 168,057.28 : x
  2. Step 2: Convert to fraction form
    108,757.69/168,057.28 = 168,057.28/x
  3. Step 3: Cross multiply
    108,757.69x = 168,057.28 × 168,057.28
  4. Step 4: Simplify right side
    108,757.69x = 28,243,249,781.14
  5. Step 5: Solve for x
    x = 28,243,249,781.14/108,757.69
  6. Step 6: Final answer
    x = 259,689.69

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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.