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Finding the Third Proportional to 342.84 and 741.09

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Solution

The third proportional to 342.84 and 741.09 is: 1,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 741.09 = 741.09 : x
  2. Step 2: Convert to fraction form
    342.84/741.09 = 741.09/x
  3. Step 3: Cross multiply
    342.84x = 741.09 × 741.09
  4. Step 4: Simplify right side
    342.84x = 549,219.95
  5. Step 5: Solve for x
    x = 549,219.95/342.84
  6. Step 6: Final answer
    x = 1,601.95

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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.