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Finding the Third Proportional to 51,646 and 79,748

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Solution

The third proportional to 51,646 and 79,748 is: 123,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646 : 79,748 = 79,748 : x
  2. Step 2: Convert to fraction form
    51,646/79,748 = 79,748/x
  3. Step 3: Cross multiply
    51,646x = 79,748 × 79,748
  4. Step 4: Simplify right side
    51,646x = 6,359,743,504
  5. Step 5: Solve for x
    x = 6,359,743,504/51,646
  6. Step 6: Final answer
    x = 123,141.07

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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.