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Finding the Third Proportional to 49,580 and 79,814

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Solution

The third proportional to 49,580 and 79,814 is: 128,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,580 : 79,814 = 79,814 : x
  2. Step 2: Convert to fraction form
    49,580/79,814 = 79,814/x
  3. Step 3: Cross multiply
    49,580x = 79,814 × 79,814
  4. Step 4: Simplify right side
    49,580x = 6,370,274,596
  5. Step 5: Solve for x
    x = 6,370,274,596/49,580
  6. Step 6: Final answer
    x = 128,484.76

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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.