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Finding the Third Proportional to 210,853 and 318,912

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Solution

The third proportional to 210,853 and 318,912 is: 482,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,853 : 318,912 = 318,912 : x
  2. Step 2: Convert to fraction form
    210,853/318,912 = 318,912/x
  3. Step 3: Cross multiply
    210,853x = 318,912 × 318,912
  4. Step 4: Simplify right side
    210,853x = 101,704,863,744
  5. Step 5: Solve for x
    x = 101,704,863,744/210,853
  6. Step 6: Final answer
    x = 482,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.