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Finding the Third Proportional to 7,748 and 18,708

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Solution

The third proportional to 7,748 and 18,708 is: 45,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 18,708 = 18,708 : x
  2. Step 2: Convert to fraction form
    7,748/18,708 = 18,708/x
  3. Step 3: Cross multiply
    7,748x = 18,708 × 18,708
  4. Step 4: Simplify right side
    7,748x = 349,989,264
  5. Step 5: Solve for x
    x = 349,989,264/7,748
  6. Step 6: Final answer
    x = 45,171.56

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.