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Finding the Third Proportional to 78,851 and 170,338

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Solution

The third proportional to 78,851 and 170,338 is: 367,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,851 : 170,338 = 170,338 : x
  2. Step 2: Convert to fraction form
    78,851/170,338 = 170,338/x
  3. Step 3: Cross multiply
    78,851x = 170,338 × 170,338
  4. Step 4: Simplify right side
    78,851x = 29,015,034,244
  5. Step 5: Solve for x
    x = 29,015,034,244/78,851
  6. Step 6: Final answer
    x = 367,972.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.