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Finding the Third Proportional to 48,620 and 79,391

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Solution

The third proportional to 48,620 and 79,391 is: 129,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,620 : 79,391 = 79,391 : x
  2. Step 2: Convert to fraction form
    48,620/79,391 = 79,391/x
  3. Step 3: Cross multiply
    48,620x = 79,391 × 79,391
  4. Step 4: Simplify right side
    48,620x = 6,302,930,881
  5. Step 5: Solve for x
    x = 6,302,930,881/48,620
  6. Step 6: Final answer
    x = 129,636.59

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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.