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Finding the Third Proportional to 30,909 and 35,283

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Solution

The third proportional to 30,909 and 35,283 is: 40,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 35,283 = 35,283 : x
  2. Step 2: Convert to fraction form
    30,909/35,283 = 35,283/x
  3. Step 3: Cross multiply
    30,909x = 35,283 × 35,283
  4. Step 4: Simplify right side
    30,909x = 1,244,890,089
  5. Step 5: Solve for x
    x = 1,244,890,089/30,909
  6. Step 6: Final answer
    x = 40,275.97

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.