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Finding the Third Proportional to 214,691 and 315,471

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Solution

The third proportional to 214,691 and 315,471 is: 463,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,691 : 315,471 = 315,471 : x
  2. Step 2: Convert to fraction form
    214,691/315,471 = 315,471/x
  3. Step 3: Cross multiply
    214,691x = 315,471 × 315,471
  4. Step 4: Simplify right side
    214,691x = 99,521,951,841
  5. Step 5: Solve for x
    x = 99,521,951,841/214,691
  6. Step 6: Final answer
    x = 463,559.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.