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Finding the Third Proportional to 3,421.13 and 5,156.16

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Solution

The third proportional to 3,421.13 and 5,156.16 is: 7,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.13 : 5,156.16 = 5,156.16 : x
  2. Step 2: Convert to fraction form
    3,421.13/5,156.16 = 5,156.16/x
  3. Step 3: Cross multiply
    3,421.13x = 5,156.16 × 5,156.16
  4. Step 4: Simplify right side
    3,421.13x = 26,585,947.27
  5. Step 5: Solve for x
    x = 26,585,947.27/3,421.13
  6. Step 6: Final answer
    x = 7,771.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.