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Finding the Third Proportional to 210,771 and 316,163

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Solution

The third proportional to 210,771 and 316,163 is: 474,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,771 : 316,163 = 316,163 : x
  2. Step 2: Convert to fraction form
    210,771/316,163 = 316,163/x
  3. Step 3: Cross multiply
    210,771x = 316,163 × 316,163
  4. Step 4: Simplify right side
    210,771x = 99,959,042,569
  5. Step 5: Solve for x
    x = 99,959,042,569/210,771
  6. Step 6: Final answer
    x = 474,254.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.