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Finding the Third Proportional to 25,699 and 53,981

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Solution

The third proportional to 25,699 and 53,981 is: 113,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699 : 53,981 = 53,981 : x
  2. Step 2: Convert to fraction form
    25,699/53,981 = 53,981/x
  3. Step 3: Cross multiply
    25,699x = 53,981 × 53,981
  4. Step 4: Simplify right side
    25,699x = 2,913,948,361
  5. Step 5: Solve for x
    x = 2,913,948,361/25,699
  6. Step 6: Final answer
    x = 113,387.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.