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Finding the Third Proportional to 7,940 and 18,386

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Solution

The third proportional to 7,940 and 18,386 is: 42,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 18,386 = 18,386 : x
  2. Step 2: Convert to fraction form
    7,940/18,386 = 18,386/x
  3. Step 3: Cross multiply
    7,940x = 18,386 × 18,386
  4. Step 4: Simplify right side
    7,940x = 338,044,996
  5. Step 5: Solve for x
    x = 338,044,996/7,940
  6. Step 6: Final answer
    x = 42,574.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.