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Finding the Third Proportional to 45,630 and 67,779

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Solution

The third proportional to 45,630 and 67,779 is: 100,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 67,779 = 67,779 : x
  2. Step 2: Convert to fraction form
    45,630/67,779 = 67,779/x
  3. Step 3: Cross multiply
    45,630x = 67,779 × 67,779
  4. Step 4: Simplify right side
    45,630x = 4,593,992,841
  5. Step 5: Solve for x
    x = 4,593,992,841/45,630
  6. Step 6: Final answer
    x = 100,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.