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Finding the Third Proportional to 54,550 and 86,749

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Solution

The third proportional to 54,550 and 86,749 is: 137,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,550 : 86,749 = 86,749 : x
  2. Step 2: Convert to fraction form
    54,550/86,749 = 86,749/x
  3. Step 3: Cross multiply
    54,550x = 86,749 × 86,749
  4. Step 4: Simplify right side
    54,550x = 7,525,389,001
  5. Step 5: Solve for x
    x = 7,525,389,001/54,550
  6. Step 6: Final answer
    x = 137,953.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.