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Finding the Third Proportional to 4,120.69 and 6,386.06

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Solution

The third proportional to 4,120.69 and 6,386.06 is: 9,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.69 : 6,386.06 = 6,386.06 : x
  2. Step 2: Convert to fraction form
    4,120.69/6,386.06 = 6,386.06/x
  3. Step 3: Cross multiply
    4,120.69x = 6,386.06 × 6,386.06
  4. Step 4: Simplify right side
    4,120.69x = 40,781,794.25
  5. Step 5: Solve for x
    x = 40,781,794.25/4,120.69
  6. Step 6: Final answer
    x = 9,896.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.