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Finding the Third Proportional to 2,127.20 and 2,797.35

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Solution

The third proportional to 2,127.20 and 2,797.35 is: 3,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.20 : 2,797.35 = 2,797.35 : x
  2. Step 2: Convert to fraction form
    2,127.20/2,797.35 = 2,797.35/x
  3. Step 3: Cross multiply
    2,127.20x = 2,797.35 × 2,797.35
  4. Step 4: Simplify right side
    2,127.20x = 7,825,153.91
  5. Step 5: Solve for x
    x = 7,825,153.91/2,127.20
  6. Step 6: Final answer
    x = 3,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.