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Finding the Third Proportional to 2,727 and 4,222.50

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Solution

The third proportional to 2,727 and 4,222.50 is: 6,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727 : 4,222.50 = 4,222.50 : x
  2. Step 2: Convert to fraction form
    2,727/4,222.50 = 4,222.50/x
  3. Step 3: Cross multiply
    2,727x = 4,222.50 × 4,222.50
  4. Step 4: Simplify right side
    2,727x = 17,829,506.25
  5. Step 5: Solve for x
    x = 17,829,506.25/2,727
  6. Step 6: Final answer
    x = 6,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.