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Finding the Third Proportional to 187,656 and 408,976

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Solution

The third proportional to 187,656 and 408,976 is: 891,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,656 : 408,976 = 408,976 : x
  2. Step 2: Convert to fraction form
    187,656/408,976 = 408,976/x
  3. Step 3: Cross multiply
    187,656x = 408,976 × 408,976
  4. Step 4: Simplify right side
    187,656x = 167,261,368,576
  5. Step 5: Solve for x
    x = 167,261,368,576/187,656
  6. Step 6: Final answer
    x = 891,319.05

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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.