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Finding the Third Proportional to 270.70 and 588.80

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Solution

The third proportional to 270.70 and 588.80 is: 1,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.70 : 588.80 = 588.80 : x
  2. Step 2: Convert to fraction form
    270.70/588.80 = 588.80/x
  3. Step 3: Cross multiply
    270.70x = 588.80 × 588.80
  4. Step 4: Simplify right side
    270.70x = 346,681.76
  5. Step 5: Solve for x
    x = 346,681.76/270.70
  6. Step 6: Final answer
    x = 1,280.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.