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Finding the Third Proportional to 227,142 and 318,498

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Solution

The third proportional to 227,142 and 318,498 is: 446,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,142 : 318,498 = 318,498 : x
  2. Step 2: Convert to fraction form
    227,142/318,498 = 318,498/x
  3. Step 3: Cross multiply
    227,142x = 318,498 × 318,498
  4. Step 4: Simplify right side
    227,142x = 101,440,976,004
  5. Step 5: Solve for x
    x = 101,440,976,004/227,142
  6. Step 6: Final answer
    x = 446,597.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.