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Finding the Third Proportional to 2,199 and 2,972.25

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Solution

The third proportional to 2,199 and 2,972.25 is: 4,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199 : 2,972.25 = 2,972.25 : x
  2. Step 2: Convert to fraction form
    2,199/2,972.25 = 2,972.25/x
  3. Step 3: Cross multiply
    2,199x = 2,972.25 × 2,972.25
  4. Step 4: Simplify right side
    2,199x = 8,834,270.06
  5. Step 5: Solve for x
    x = 8,834,270.06/2,199
  6. Step 6: Final answer
    x = 4,017.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.