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Finding the Third Proportional to 229,822 and 487,831

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Solution

The third proportional to 229,822 and 487,831 is: 1,035,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,822 : 487,831 = 487,831 : x
  2. Step 2: Convert to fraction form
    229,822/487,831 = 487,831/x
  3. Step 3: Cross multiply
    229,822x = 487,831 × 487,831
  4. Step 4: Simplify right side
    229,822x = 237,979,084,561
  5. Step 5: Solve for x
    x = 237,979,084,561/229,822
  6. Step 6: Final answer
    x = 1,035,493.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.