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Finding the Third Proportional to 78,239 and 170,815

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Solution

The third proportional to 78,239 and 170,815 is: 372,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,239 : 170,815 = 170,815 : x
  2. Step 2: Convert to fraction form
    78,239/170,815 = 170,815/x
  3. Step 3: Cross multiply
    78,239x = 170,815 × 170,815
  4. Step 4: Simplify right side
    78,239x = 29,177,764,225
  5. Step 5: Solve for x
    x = 29,177,764,225/78,239
  6. Step 6: Final answer
    x = 372,931.20

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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.