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Finding the Third Proportional to 372.73 and 805.57

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Solution

The third proportional to 372.73 and 805.57 is: 1,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.73 : 805.57 = 805.57 : x
  2. Step 2: Convert to fraction form
    372.73/805.57 = 805.57/x
  3. Step 3: Cross multiply
    372.73x = 805.57 × 805.57
  4. Step 4: Simplify right side
    372.73x = 648,943.53
  5. Step 5: Solve for x
    x = 648,943.53/372.73
  6. Step 6: Final answer
    x = 1,741.07

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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.