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Finding the Third Proportional to 218,289 and 468,471

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Solution

The third proportional to 218,289 and 468,471 is: 1,005,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,289 : 468,471 = 468,471 : x
  2. Step 2: Convert to fraction form
    218,289/468,471 = 468,471/x
  3. Step 3: Cross multiply
    218,289x = 468,471 × 468,471
  4. Step 4: Simplify right side
    218,289x = 219,465,077,841
  5. Step 5: Solve for x
    x = 219,465,077,841/218,289
  6. Step 6: Final answer
    x = 1,005,387.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.