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Finding the Third Proportional to 48,408 and 77,986

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Solution

The third proportional to 48,408 and 77,986 is: 125,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,408 : 77,986 = 77,986 : x
  2. Step 2: Convert to fraction form
    48,408/77,986 = 77,986/x
  3. Step 3: Cross multiply
    48,408x = 77,986 × 77,986
  4. Step 4: Simplify right side
    48,408x = 6,081,816,196
  5. Step 5: Solve for x
    x = 6,081,816,196/48,408
  6. Step 6: Final answer
    x = 125,636.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.