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Finding the Third Proportional to 77,170 and 158,948

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Solution

The third proportional to 77,170 and 158,948 is: 327,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,170 : 158,948 = 158,948 : x
  2. Step 2: Convert to fraction form
    77,170/158,948 = 158,948/x
  3. Step 3: Cross multiply
    77,170x = 158,948 × 158,948
  4. Step 4: Simplify right side
    77,170x = 25,264,466,704
  5. Step 5: Solve for x
    x = 25,264,466,704/77,170
  6. Step 6: Final answer
    x = 327,387.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.