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Finding the Third Proportional to 71,586 and 154,971

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Solution

The third proportional to 71,586 and 154,971 is: 335,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,586 : 154,971 = 154,971 : x
  2. Step 2: Convert to fraction form
    71,586/154,971 = 154,971/x
  3. Step 3: Cross multiply
    71,586x = 154,971 × 154,971
  4. Step 4: Simplify right side
    71,586x = 24,016,010,841
  5. Step 5: Solve for x
    x = 24,016,010,841/71,586
  6. Step 6: Final answer
    x = 335,484.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.