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Finding the Third Proportional to 225,263 and 487,705

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Solution

The third proportional to 225,263 and 487,705 is: 1,055,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,263 : 487,705 = 487,705 : x
  2. Step 2: Convert to fraction form
    225,263/487,705 = 487,705/x
  3. Step 3: Cross multiply
    225,263x = 487,705 × 487,705
  4. Step 4: Simplify right side
    225,263x = 237,856,167,025
  5. Step 5: Solve for x
    x = 237,856,167,025/225,263
  6. Step 6: Final answer
    x = 1,055,904.29

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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.