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Finding the Third Proportional to 48,613 and 79,380

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Solution

The third proportional to 48,613 and 79,380 is: 129,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613 : 79,380 = 79,380 : x
  2. Step 2: Convert to fraction form
    48,613/79,380 = 79,380/x
  3. Step 3: Cross multiply
    48,613x = 79,380 × 79,380
  4. Step 4: Simplify right side
    48,613x = 6,301,184,400
  5. Step 5: Solve for x
    x = 6,301,184,400/48,613
  6. Step 6: Final answer
    x = 129,619.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.