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Finding the Third Proportional to 3,445.03 and 5,206.78

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Solution

The third proportional to 3,445.03 and 5,206.78 is: 7,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.03 : 5,206.78 = 5,206.78 : x
  2. Step 2: Convert to fraction form
    3,445.03/5,206.78 = 5,206.78/x
  3. Step 3: Cross multiply
    3,445.03x = 5,206.78 × 5,206.78
  4. Step 4: Simplify right side
    3,445.03x = 27,110,570.99
  5. Step 5: Solve for x
    x = 27,110,570.99/3,445.03
  6. Step 6: Final answer
    x = 7,869.47

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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.