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Finding the Third Proportional to 864.21 and 1,370.04

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Solution

The third proportional to 864.21 and 1,370.04 is: 2,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.21 : 1,370.04 = 1,370.04 : x
  2. Step 2: Convert to fraction form
    864.21/1,370.04 = 1,370.04/x
  3. Step 3: Cross multiply
    864.21x = 1,370.04 × 1,370.04
  4. Step 4: Simplify right side
    864.21x = 1,877,007.03
  5. Step 5: Solve for x
    x = 1,877,007.03/864.21
  6. Step 6: Final answer
    x = 2,171.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.