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Finding the Third Proportional to 5,340.78 and 9,963.95

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Solution

The third proportional to 5,340.78 and 9,963.95 is: 18,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.78 : 9,963.95 = 9,963.95 : x
  2. Step 2: Convert to fraction form
    5,340.78/9,963.95 = 9,963.95/x
  3. Step 3: Cross multiply
    5,340.78x = 9,963.95 × 9,963.95
  4. Step 4: Simplify right side
    5,340.78x = 99,280,284.03
  5. Step 5: Solve for x
    x = 99,280,284.03/5,340.78
  6. Step 6: Final answer
    x = 18,589.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.