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Finding the Third Proportional to 374.15 and 821.87

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Solution

The third proportional to 374.15 and 821.87 is: 1,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.15 : 821.87 = 821.87 : x
  2. Step 2: Convert to fraction form
    374.15/821.87 = 821.87/x
  3. Step 3: Cross multiply
    374.15x = 821.87 × 821.87
  4. Step 4: Simplify right side
    374.15x = 675,462.46
  5. Step 5: Solve for x
    x = 675,462.46/374.15
  6. Step 6: Final answer
    x = 1,805.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.