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Finding the Third Proportional to 71,680 and 167,409

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Solution

The third proportional to 71,680 and 167,409 is: 390,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,680 : 167,409 = 167,409 : x
  2. Step 2: Convert to fraction form
    71,680/167,409 = 167,409/x
  3. Step 3: Cross multiply
    71,680x = 167,409 × 167,409
  4. Step 4: Simplify right side
    71,680x = 28,025,773,281
  5. Step 5: Solve for x
    x = 28,025,773,281/71,680
  6. Step 6: Final answer
    x = 390,984.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.