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Finding the Third Proportional to 78,318 and 170,706

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Solution

The third proportional to 78,318 and 170,706 is: 372,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318 : 170,706 = 170,706 : x
  2. Step 2: Convert to fraction form
    78,318/170,706 = 170,706/x
  3. Step 3: Cross multiply
    78,318x = 170,706 × 170,706
  4. Step 4: Simplify right side
    78,318x = 29,140,538,436
  5. Step 5: Solve for x
    x = 29,140,538,436/78,318
  6. Step 6: Final answer
    x = 372,079.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.