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Finding the Third Proportional to 7,909 and 12,342

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Solution

The third proportional to 7,909 and 12,342 is: 19,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 12,342 = 12,342 : x
  2. Step 2: Convert to fraction form
    7,909/12,342 = 12,342/x
  3. Step 3: Cross multiply
    7,909x = 12,342 × 12,342
  4. Step 4: Simplify right side
    7,909x = 152,324,964
  5. Step 5: Solve for x
    x = 152,324,964/7,909
  6. Step 6: Final answer
    x = 19,259.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.