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Finding the Third Proportional to 229,877 and 487,399

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Solution

The third proportional to 229,877 and 487,399 is: 1,033,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,877 : 487,399 = 487,399 : x
  2. Step 2: Convert to fraction form
    229,877/487,399 = 487,399/x
  3. Step 3: Cross multiply
    229,877x = 487,399 × 487,399
  4. Step 4: Simplify right side
    229,877x = 237,557,785,201
  5. Step 5: Solve for x
    x = 237,557,785,201/229,877
  6. Step 6: Final answer
    x = 1,033,412.59

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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.