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Finding the Third Proportional to 225,016 and 316,470

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Solution

The third proportional to 225,016 and 316,470 is: 445,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,016 : 316,470 = 316,470 : x
  2. Step 2: Convert to fraction form
    225,016/316,470 = 316,470/x
  3. Step 3: Cross multiply
    225,016x = 316,470 × 316,470
  4. Step 4: Simplify right side
    225,016x = 100,153,260,900
  5. Step 5: Solve for x
    x = 100,153,260,900/225,016
  6. Step 6: Final answer
    x = 445,093.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.