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Finding the Third Proportional to 2,140.80 and 2,707.17

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Solution

The third proportional to 2,140.80 and 2,707.17 is: 3,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 2,707.17 = 2,707.17 : x
  2. Step 2: Convert to fraction form
    2,140.80/2,707.17 = 2,707.17/x
  3. Step 3: Cross multiply
    2,140.80x = 2,707.17 × 2,707.17
  4. Step 4: Simplify right side
    2,140.80x = 7,328,779.56
  5. Step 5: Solve for x
    x = 7,328,779.56/2,140.80
  6. Step 6: Final answer
    x = 3,423.38

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.