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Finding the Third Proportional to 2,290.78 and 2,990.67

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Solution

The third proportional to 2,290.78 and 2,990.67 is: 3,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.78 : 2,990.67 = 2,990.67 : x
  2. Step 2: Convert to fraction form
    2,290.78/2,990.67 = 2,990.67/x
  3. Step 3: Cross multiply
    2,290.78x = 2,990.67 × 2,990.67
  4. Step 4: Simplify right side
    2,290.78x = 8,944,118.26
  5. Step 5: Solve for x
    x = 8,944,118.26/2,290.78
  6. Step 6: Final answer
    x = 3,904.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.