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Finding the Third Proportional to 5,145.19 and 5,712.19

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Solution

The third proportional to 5,145.19 and 5,712.19 is: 6,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.19 : 5,712.19 = 5,712.19 : x
  2. Step 2: Convert to fraction form
    5,145.19/5,712.19 = 5,712.19/x
  3. Step 3: Cross multiply
    5,145.19x = 5,712.19 × 5,712.19
  4. Step 4: Simplify right side
    5,145.19x = 32,629,086.04
  5. Step 5: Solve for x
    x = 32,629,086.04/5,145.19
  6. Step 6: Final answer
    x = 6,341.67

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.