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Finding the Third Proportional to 225,270 and 487,718

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Solution

The third proportional to 225,270 and 487,718 is: 1,055,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,270 : 487,718 = 487,718 : x
  2. Step 2: Convert to fraction form
    225,270/487,718 = 487,718/x
  3. Step 3: Cross multiply
    225,270x = 487,718 × 487,718
  4. Step 4: Simplify right side
    225,270x = 237,868,847,524
  5. Step 5: Solve for x
    x = 237,868,847,524/225,270
  6. Step 6: Final answer
    x = 1,055,927.76

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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.