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Finding the Third Proportional to 342.84 and 751.92

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Solution

The third proportional to 342.84 and 751.92 is: 1,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 751.92 = 751.92 : x
  2. Step 2: Convert to fraction form
    342.84/751.92 = 751.92/x
  3. Step 3: Cross multiply
    342.84x = 751.92 × 751.92
  4. Step 4: Simplify right side
    342.84x = 565,386.51
  5. Step 5: Solve for x
    x = 565,386.51/342.84
  6. Step 6: Final answer
    x = 1,649.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.