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Finding the Third Proportional to 229,977 and 316,683

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Solution

The third proportional to 229,977 and 316,683 is: 436,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,977 : 316,683 = 316,683 : x
  2. Step 2: Convert to fraction form
    229,977/316,683 = 316,683/x
  3. Step 3: Cross multiply
    229,977x = 316,683 × 316,683
  4. Step 4: Simplify right side
    229,977x = 100,288,122,489
  5. Step 5: Solve for x
    x = 100,288,122,489/229,977
  6. Step 6: Final answer
    x = 436,078.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.