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Finding the Third Proportional to 381,016 and 574,980

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Solution

The third proportional to 381,016 and 574,980 is: 867,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,016 : 574,980 = 574,980 : x
  2. Step 2: Convert to fraction form
    381,016/574,980 = 574,980/x
  3. Step 3: Cross multiply
    381,016x = 574,980 × 574,980
  4. Step 4: Simplify right side
    381,016x = 330,602,000,400
  5. Step 5: Solve for x
    x = 330,602,000,400/381,016
  6. Step 6: Final answer
    x = 867,685.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.