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Finding the Third Proportional to 79,215 and 176,140

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Solution

The third proportional to 79,215 and 176,140 is: 391,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,215 : 176,140 = 176,140 : x
  2. Step 2: Convert to fraction form
    79,215/176,140 = 176,140/x
  3. Step 3: Cross multiply
    79,215x = 176,140 × 176,140
  4. Step 4: Simplify right side
    79,215x = 31,025,299,600
  5. Step 5: Solve for x
    x = 31,025,299,600/79,215
  6. Step 6: Final answer
    x = 391,659.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.