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Finding the Third Proportional to 60,821 and 90,987

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Solution

The third proportional to 60,821 and 90,987 is: 136,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,821 : 90,987 = 90,987 : x
  2. Step 2: Convert to fraction form
    60,821/90,987 = 90,987/x
  3. Step 3: Cross multiply
    60,821x = 90,987 × 90,987
  4. Step 4: Simplify right side
    60,821x = 8,278,634,169
  5. Step 5: Solve for x
    x = 8,278,634,169/60,821
  6. Step 6: Final answer
    x = 136,114.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.