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Finding the Third Proportional to 170,460 and 378,180

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Solution

The third proportional to 170,460 and 378,180 is: 839,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,460 : 378,180 = 378,180 : x
  2. Step 2: Convert to fraction form
    170,460/378,180 = 378,180/x
  3. Step 3: Cross multiply
    170,460x = 378,180 × 378,180
  4. Step 4: Simplify right side
    170,460x = 143,020,112,400
  5. Step 5: Solve for x
    x = 143,020,112,400/170,460
  6. Step 6: Final answer
    x = 839,024.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.