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Finding the Third Proportional to 311,871 and 472,214

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Solution

The third proportional to 311,871 and 472,214 is: 714,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,871 : 472,214 = 472,214 : x
  2. Step 2: Convert to fraction form
    311,871/472,214 = 472,214/x
  3. Step 3: Cross multiply
    311,871x = 472,214 × 472,214
  4. Step 4: Simplify right side
    311,871x = 222,986,061,796
  5. Step 5: Solve for x
    x = 222,986,061,796/311,871
  6. Step 6: Final answer
    x = 714,994.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.