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Finding the Third Proportional to 1.42 and 2.43

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Solution

The third proportional to 1.42 and 2.43 is: 4.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.42 : 2.43 = 2.43 : x
  2. Step 2: Convert to fraction form
    1.42/2.43 = 2.43/x
  3. Step 3: Cross multiply
    1.42x = 2.43 × 2.43
  4. Step 4: Simplify right side
    1.42x = 5.88
  5. Step 5: Solve for x
    x = 5.88/1.42
  6. Step 6: Final answer
    x = 4.13

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.