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Finding the Third Proportional to 236,742 and 318,966

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Solution

The third proportional to 236,742 and 318,966 is: 429,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,742 : 318,966 = 318,966 : x
  2. Step 2: Convert to fraction form
    236,742/318,966 = 318,966/x
  3. Step 3: Cross multiply
    236,742x = 318,966 × 318,966
  4. Step 4: Simplify right side
    236,742x = 101,739,309,156
  5. Step 5: Solve for x
    x = 101,739,309,156/236,742
  6. Step 6: Final answer
    x = 429,747.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.