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Finding the Third Proportional to 131.91 and 342.84

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Solution

The third proportional to 131.91 and 342.84 is: 891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.91 : 342.84 = 342.84 : x
  2. Step 2: Convert to fraction form
    131.91/342.84 = 342.84/x
  3. Step 3: Cross multiply
    131.91x = 342.84 × 342.84
  4. Step 4: Simplify right side
    131.91x = 117,541.84
  5. Step 5: Solve for x
    x = 117,541.84/131.91
  6. Step 6: Final answer
    x = 891.10

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.