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Finding the Third Proportional to 4,318.47 and 9,418.62

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Solution

The third proportional to 4,318.47 and 9,418.62 is: 20,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.47 : 9,418.62 = 9,418.62 : x
  2. Step 2: Convert to fraction form
    4,318.47/9,418.62 = 9,418.62/x
  3. Step 3: Cross multiply
    4,318.47x = 9,418.62 × 9,418.62
  4. Step 4: Simplify right side
    4,318.47x = 88,710,460.10
  5. Step 5: Solve for x
    x = 88,710,460.10/4,318.47
  6. Step 6: Final answer
    x = 20,542.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.