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Finding the Third Proportional to 53,098 and 82,873

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Solution

The third proportional to 53,098 and 82,873 is: 129,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098 : 82,873 = 82,873 : x
  2. Step 2: Convert to fraction form
    53,098/82,873 = 82,873/x
  3. Step 3: Cross multiply
    53,098x = 82,873 × 82,873
  4. Step 4: Simplify right side
    53,098x = 6,867,934,129
  5. Step 5: Solve for x
    x = 6,867,934,129/53,098
  6. Step 6: Final answer
    x = 129,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.