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Finding the Third Proportional to 60,814 and 90,971

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Solution

The third proportional to 60,814 and 90,971 is: 136,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,814 : 90,971 = 90,971 : x
  2. Step 2: Convert to fraction form
    60,814/90,971 = 90,971/x
  3. Step 3: Cross multiply
    60,814x = 90,971 × 90,971
  4. Step 4: Simplify right side
    60,814x = 8,275,722,841
  5. Step 5: Solve for x
    x = 8,275,722,841/60,814
  6. Step 6: Final answer
    x = 136,082.53

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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.