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Finding the Third Proportional to 147.84 and 206.81

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Solution

The third proportional to 147.84 and 206.81 is: 289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 206.81 = 206.81 : x
  2. Step 2: Convert to fraction form
    147.84/206.81 = 206.81/x
  3. Step 3: Cross multiply
    147.84x = 206.81 × 206.81
  4. Step 4: Simplify right side
    147.84x = 42,771.41
  5. Step 5: Solve for x
    x = 42,771.41/147.84
  6. Step 6: Final answer
    x = 289.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.