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Finding the Third Proportional to 87,848 and 212,315

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Solution

The third proportional to 87,848 and 212,315 is: 513,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,848 : 212,315 = 212,315 : x
  2. Step 2: Convert to fraction form
    87,848/212,315 = 212,315/x
  3. Step 3: Cross multiply
    87,848x = 212,315 × 212,315
  4. Step 4: Simplify right side
    87,848x = 45,077,659,225
  5. Step 5: Solve for x
    x = 45,077,659,225/87,848
  6. Step 6: Final answer
    x = 513,132.45

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.