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Finding the Third Proportional to 867.38 and 1,913.06

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Solution

The third proportional to 867.38 and 1,913.06 is: 4,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.38 : 1,913.06 = 1,913.06 : x
  2. Step 2: Convert to fraction form
    867.38/1,913.06 = 1,913.06/x
  3. Step 3: Cross multiply
    867.38x = 1,913.06 × 1,913.06
  4. Step 4: Simplify right side
    867.38x = 3,659,808.13
  5. Step 5: Solve for x
    x = 3,659,808.13/867.38
  6. Step 6: Final answer
    x = 4,219.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.