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Finding the Third Proportional to 225,266 and 487,710

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Solution

The third proportional to 225,266 and 487,710 is: 1,055,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,266 : 487,710 = 487,710 : x
  2. Step 2: Convert to fraction form
    225,266/487,710 = 487,710/x
  3. Step 3: Cross multiply
    225,266x = 487,710 × 487,710
  4. Step 4: Simplify right side
    225,266x = 237,861,044,100
  5. Step 5: Solve for x
    x = 237,861,044,100/225,266
  6. Step 6: Final answer
    x = 1,055,911.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.