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Finding the Third Proportional to 227,390 and 318,069

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Solution

The third proportional to 227,390 and 318,069 is: 444,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,390 : 318,069 = 318,069 : x
  2. Step 2: Convert to fraction form
    227,390/318,069 = 318,069/x
  3. Step 3: Cross multiply
    227,390x = 318,069 × 318,069
  4. Step 4: Simplify right side
    227,390x = 101,167,888,761
  5. Step 5: Solve for x
    x = 101,167,888,761/227,390
  6. Step 6: Final answer
    x = 444,909.14

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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.