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Finding the Third Proportional to 51,799 and 79,988

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Solution

The third proportional to 51,799 and 79,988 is: 123,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799 : 79,988 = 79,988 : x
  2. Step 2: Convert to fraction form
    51,799/79,988 = 79,988/x
  3. Step 3: Cross multiply
    51,799x = 79,988 × 79,988
  4. Step 4: Simplify right side
    51,799x = 6,398,080,144
  5. Step 5: Solve for x
    x = 6,398,080,144/51,799
  6. Step 6: Final answer
    x = 123,517.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.