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Finding the Third Proportional to 206,820 and 316,184

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Solution

The third proportional to 206,820 and 316,184 is: 483,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820 : 316,184 = 316,184 : x
  2. Step 2: Convert to fraction form
    206,820/316,184 = 316,184/x
  3. Step 3: Cross multiply
    206,820x = 316,184 × 316,184
  4. Step 4: Simplify right side
    206,820x = 99,972,321,856
  5. Step 5: Solve for x
    x = 99,972,321,856/206,820
  6. Step 6: Final answer
    x = 483,378.41

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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.