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Finding the Third Proportional to 138.59 and 287.93

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Solution

The third proportional to 138.59 and 287.93 is: 598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 287.93 = 287.93 : x
  2. Step 2: Convert to fraction form
    138.59/287.93 = 287.93/x
  3. Step 3: Cross multiply
    138.59x = 287.93 × 287.93
  4. Step 4: Simplify right side
    138.59x = 82,903.50
  5. Step 5: Solve for x
    x = 82,903.50/138.59
  6. Step 6: Final answer
    x = 598.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.