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Finding the Third Proportional to 178,438 and 387,980

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Solution

The third proportional to 178,438 and 387,980 is: 843,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,438 : 387,980 = 387,980 : x
  2. Step 2: Convert to fraction form
    178,438/387,980 = 387,980/x
  3. Step 3: Cross multiply
    178,438x = 387,980 × 387,980
  4. Step 4: Simplify right side
    178,438x = 150,528,480,400
  5. Step 5: Solve for x
    x = 150,528,480,400/178,438
  6. Step 6: Final answer
    x = 843,589.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.