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Finding the Third Proportional to 78,214 and 170,396

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Solution

The third proportional to 78,214 and 170,396 is: 371,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,214 : 170,396 = 170,396 : x
  2. Step 2: Convert to fraction form
    78,214/170,396 = 170,396/x
  3. Step 3: Cross multiply
    78,214x = 170,396 × 170,396
  4. Step 4: Simplify right side
    78,214x = 29,034,796,816
  5. Step 5: Solve for x
    x = 29,034,796,816/78,214
  6. Step 6: Final answer
    x = 371,222.50

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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.