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Finding the Third Proportional to 108,769 and 153,173

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Solution

The third proportional to 108,769 and 153,173 is: 215,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,769 : 153,173 = 153,173 : x
  2. Step 2: Convert to fraction form
    108,769/153,173 = 153,173/x
  3. Step 3: Cross multiply
    108,769x = 153,173 × 153,173
  4. Step 4: Simplify right side
    108,769x = 23,461,967,929
  5. Step 5: Solve for x
    x = 23,461,967,929/108,769
  6. Step 6: Final answer
    x = 215,704.55

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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.