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Finding the Third Proportional to 84,306 and 178,986

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Solution

The third proportional to 84,306 and 178,986 is: 379,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306 : 178,986 = 178,986 : x
  2. Step 2: Convert to fraction form
    84,306/178,986 = 178,986/x
  3. Step 3: Cross multiply
    84,306x = 178,986 × 178,986
  4. Step 4: Simplify right side
    84,306x = 32,035,988,196
  5. Step 5: Solve for x
    x = 32,035,988,196/84,306
  6. Step 6: Final answer
    x = 379,996.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.