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Finding the Third Proportional to 51,699 and 77,981

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Solution

The third proportional to 51,699 and 77,981 is: 117,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,699 : 77,981 = 77,981 : x
  2. Step 2: Convert to fraction form
    51,699/77,981 = 77,981/x
  3. Step 3: Cross multiply
    51,699x = 77,981 × 77,981
  4. Step 4: Simplify right side
    51,699x = 6,081,036,361
  5. Step 5: Solve for x
    x = 6,081,036,361/51,699
  6. Step 6: Final answer
    x = 117,623.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.