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Finding the Third Proportional to 867.47 and 1,858.88

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Solution

The third proportional to 867.47 and 1,858.88 is: 3,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.47 : 1,858.88 = 1,858.88 : x
  2. Step 2: Convert to fraction form
    867.47/1,858.88 = 1,858.88/x
  3. Step 3: Cross multiply
    867.47x = 1,858.88 × 1,858.88
  4. Step 4: Simplify right side
    867.47x = 3,455,416.27
  5. Step 5: Solve for x
    x = 3,455,416.27/867.47
  6. Step 6: Final answer
    x = 3,983.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.