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Finding the Third Proportional to 211,972 and 318,412

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Solution

The third proportional to 211,972 and 318,412 is: 478,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,972 : 318,412 = 318,412 : x
  2. Step 2: Convert to fraction form
    211,972/318,412 = 318,412/x
  3. Step 3: Cross multiply
    211,972x = 318,412 × 318,412
  4. Step 4: Simplify right side
    211,972x = 101,386,201,744
  5. Step 5: Solve for x
    x = 101,386,201,744/211,972
  6. Step 6: Final answer
    x = 478,299.97

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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.