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Finding the Third Proportional to 9,143 and 18,934

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Solution

The third proportional to 9,143 and 18,934 is: 39,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143 : 18,934 = 18,934 : x
  2. Step 2: Convert to fraction form
    9,143/18,934 = 18,934/x
  3. Step 3: Cross multiply
    9,143x = 18,934 × 18,934
  4. Step 4: Simplify right side
    9,143x = 358,496,356
  5. Step 5: Solve for x
    x = 358,496,356/9,143
  6. Step 6: Final answer
    x = 39,209.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.