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Finding the Third Proportional to 3,128.25 and 6,836.81

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Solution

The third proportional to 3,128.25 and 6,836.81 is: 14,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.25 : 6,836.81 = 6,836.81 : x
  2. Step 2: Convert to fraction form
    3,128.25/6,836.81 = 6,836.81/x
  3. Step 3: Cross multiply
    3,128.25x = 6,836.81 × 6,836.81
  4. Step 4: Simplify right side
    3,128.25x = 46,742,005.16
  5. Step 5: Solve for x
    x = 46,742,005.16/3,128.25
  6. Step 6: Final answer
    x = 14,941.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.