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Finding the Third Proportional to 78,460 and 167,692

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Solution

The third proportional to 78,460 and 167,692 is: 358,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460 : 167,692 = 167,692 : x
  2. Step 2: Convert to fraction form
    78,460/167,692 = 167,692/x
  3. Step 3: Cross multiply
    78,460x = 167,692 × 167,692
  4. Step 4: Simplify right side
    78,460x = 28,120,606,864
  5. Step 5: Solve for x
    x = 28,120,606,864/78,460
  6. Step 6: Final answer
    x = 358,406.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.