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Finding the Third Proportional to 60,482 and 138,821

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Solution

The third proportional to 60,482 and 138,821 is: 318,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,482 : 138,821 = 138,821 : x
  2. Step 2: Convert to fraction form
    60,482/138,821 = 138,821/x
  3. Step 3: Cross multiply
    60,482x = 138,821 × 138,821
  4. Step 4: Simplify right side
    60,482x = 19,271,270,041
  5. Step 5: Solve for x
    x = 19,271,270,041/60,482
  6. Step 6: Final answer
    x = 318,628.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.