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Finding the Third Proportional to 3,292.14 and 7,200.11

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Solution

The third proportional to 3,292.14 and 7,200.11 is: 15,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.14 : 7,200.11 = 7,200.11 : x
  2. Step 2: Convert to fraction form
    3,292.14/7,200.11 = 7,200.11/x
  3. Step 3: Cross multiply
    3,292.14x = 7,200.11 × 7,200.11
  4. Step 4: Simplify right side
    3,292.14x = 51,841,518.76
  5. Step 5: Solve for x
    x = 51,841,518.76/3,292.14
  6. Step 6: Final answer
    x = 15,747.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.