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Finding the Third Proportional to 231,915 and 498,890

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Solution

The third proportional to 231,915 and 498,890 is: 1,073,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,915 : 498,890 = 498,890 : x
  2. Step 2: Convert to fraction form
    231,915/498,890 = 498,890/x
  3. Step 3: Cross multiply
    231,915x = 498,890 × 498,890
  4. Step 4: Simplify right side
    231,915x = 248,891,232,100
  5. Step 5: Solve for x
    x = 248,891,232,100/231,915
  6. Step 6: Final answer
    x = 1,073,200.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.