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Finding the Third Proportional to 864.74 and 1,865.21

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Solution

The third proportional to 864.74 and 1,865.21 is: 4,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.74 : 1,865.21 = 1,865.21 : x
  2. Step 2: Convert to fraction form
    864.74/1,865.21 = 1,865.21/x
  3. Step 3: Cross multiply
    864.74x = 1,865.21 × 1,865.21
  4. Step 4: Simplify right side
    864.74x = 3,479,026.41
  5. Step 5: Solve for x
    x = 3,479,026.41/864.74
  6. Step 6: Final answer
    x = 4,023.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.