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Finding the Third Proportional to 78,216 and 170,400

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Solution

The third proportional to 78,216 and 170,400 is: 371,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216 : 170,400 = 170,400 : x
  2. Step 2: Convert to fraction form
    78,216/170,400 = 170,400/x
  3. Step 3: Cross multiply
    78,216x = 170,400 × 170,400
  4. Step 4: Simplify right side
    78,216x = 29,036,160,000
  5. Step 5: Solve for x
    x = 29,036,160,000/78,216
  6. Step 6: Final answer
    x = 371,230.44

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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.