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Finding the Third Proportional to 5,196.94 and 9,915.19

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Solution

The third proportional to 5,196.94 and 9,915.19 is: 18,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.94 : 9,915.19 = 9,915.19 : x
  2. Step 2: Convert to fraction form
    5,196.94/9,915.19 = 9,915.19/x
  3. Step 3: Cross multiply
    5,196.94x = 9,915.19 × 9,915.19
  4. Step 4: Simplify right side
    5,196.94x = 98,310,943.16
  5. Step 5: Solve for x
    x = 98,310,943.16/5,196.94
  6. Step 6: Final answer
    x = 18,917.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.