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Finding the Third Proportional to 34,873 and 75,540

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Solution

The third proportional to 34,873 and 75,540 is: 163,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,873 : 75,540 = 75,540 : x
  2. Step 2: Convert to fraction form
    34,873/75,540 = 75,540/x
  3. Step 3: Cross multiply
    34,873x = 75,540 × 75,540
  4. Step 4: Simplify right side
    34,873x = 5,706,291,600
  5. Step 5: Solve for x
    x = 5,706,291,600/34,873
  6. Step 6: Final answer
    x = 163,630.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.