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Finding the Third Proportional to 5,087.81 and 7,005.23

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Solution

The third proportional to 5,087.81 and 7,005.23 is: 9,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 7,005.23 = 7,005.23 : x
  2. Step 2: Convert to fraction form
    5,087.81/7,005.23 = 7,005.23/x
  3. Step 3: Cross multiply
    5,087.81x = 7,005.23 × 7,005.23
  4. Step 4: Simplify right side
    5,087.81x = 49,073,308.65
  5. Step 5: Solve for x
    x = 49,073,308.65/5,087.81
  6. Step 6: Final answer
    x = 9,645.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.