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Finding the Third Proportional to 48,290 and 74,620

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Solution

The third proportional to 48,290 and 74,620 is: 115,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,290 : 74,620 = 74,620 : x
  2. Step 2: Convert to fraction form
    48,290/74,620 = 74,620/x
  3. Step 3: Cross multiply
    48,290x = 74,620 × 74,620
  4. Step 4: Simplify right side
    48,290x = 5,568,144,400
  5. Step 5: Solve for x
    x = 5,568,144,400/48,290
  6. Step 6: Final answer
    x = 115,306.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.