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Finding the Third Proportional to 136.95 and 296.00

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Solution

The third proportional to 136.95 and 296.00 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.95 : 296.00 = 296.00 : x
  2. Step 2: Convert to fraction form
    136.95/296.00 = 296.00/x
  3. Step 3: Cross multiply
    136.95x = 296.00 × 296.00
  4. Step 4: Simplify right side
    136.95x = 87,614.84
  5. Step 5: Solve for x
    x = 87,614.84/136.95
  6. Step 6: Final answer
    x = 639.75

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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.