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Finding the Third Proportional to 909.75 and 1,938.88

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Solution

The third proportional to 909.75 and 1,938.88 is: 4,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 1,938.88 = 1,938.88 : x
  2. Step 2: Convert to fraction form
    909.75/1,938.88 = 1,938.88/x
  3. Step 3: Cross multiply
    909.75x = 1,938.88 × 1,938.88
  4. Step 4: Simplify right side
    909.75x = 3,759,236.27
  5. Step 5: Solve for x
    x = 3,759,236.27/909.75
  6. Step 6: Final answer
    x = 4,132.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.