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Finding the Third Proportional to 206,848 and 316,288

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Solution

The third proportional to 206,848 and 316,288 is: 483,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848 : 316,288 = 316,288 : x
  2. Step 2: Convert to fraction form
    206,848/316,288 = 316,288/x
  3. Step 3: Cross multiply
    206,848x = 316,288 × 316,288
  4. Step 4: Simplify right side
    206,848x = 100,038,098,944
  5. Step 5: Solve for x
    x = 100,038,098,944/206,848
  6. Step 6: Final answer
    x = 483,630.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.