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Finding the Third Proportional to 5,952.87 and 9,418.15

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Solution

The third proportional to 5,952.87 and 9,418.15 is: 14,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.87 : 9,418.15 = 9,418.15 : x
  2. Step 2: Convert to fraction form
    5,952.87/9,418.15 = 9,418.15/x
  3. Step 3: Cross multiply
    5,952.87x = 9,418.15 × 9,418.15
  4. Step 4: Simplify right side
    5,952.87x = 88,701,519.99
  5. Step 5: Solve for x
    x = 88,701,519.99/5,952.87
  6. Step 6: Final answer
    x = 14,900.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.