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Finding the Third Proportional to 210,422 and 318,144

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Solution

The third proportional to 210,422 and 318,144 is: 481,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,422 : 318,144 = 318,144 : x
  2. Step 2: Convert to fraction form
    210,422/318,144 = 318,144/x
  3. Step 3: Cross multiply
    210,422x = 318,144 × 318,144
  4. Step 4: Simplify right side
    210,422x = 101,215,604,736
  5. Step 5: Solve for x
    x = 101,215,604,736/210,422
  6. Step 6: Final answer
    x = 481,012.46

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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.