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Finding the Third Proportional to 4,089.66 and 6,290.16

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Solution

The third proportional to 4,089.66 and 6,290.16 is: 9,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.66 : 6,290.16 = 6,290.16 : x
  2. Step 2: Convert to fraction form
    4,089.66/6,290.16 = 6,290.16/x
  3. Step 3: Cross multiply
    4,089.66x = 6,290.16 × 6,290.16
  4. Step 4: Simplify right side
    4,089.66x = 39,566,065.65
  5. Step 5: Solve for x
    x = 39,566,065.65/4,089.66
  6. Step 6: Final answer
    x = 9,674.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.