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Finding the Third Proportional to 81,381 and 178,278.75

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Solution

The third proportional to 81,381 and 178,278.75 is: 390,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,381 : 178,278.75 = 178,278.75 : x
  2. Step 2: Convert to fraction form
    81,381/178,278.75 = 178,278.75/x
  3. Step 3: Cross multiply
    81,381x = 178,278.75 × 178,278.75
  4. Step 4: Simplify right side
    81,381x = 31,783,312,701.56
  5. Step 5: Solve for x
    x = 31,783,312,701.56/81,381
  6. Step 6: Final answer
    x = 390,549.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.