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Finding the Third Proportional to 0.86 and 1.35

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Solution

The third proportional to 0.86 and 1.35 is: 2.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.86 : 1.35 = 1.35 : x
  2. Step 2: Convert to fraction form
    0.86/1.35 = 1.35/x
  3. Step 3: Cross multiply
    0.86x = 1.35 × 1.35
  4. Step 4: Simplify right side
    0.86x = 1.83
  5. Step 5: Solve for x
    x = 1.83/0.86
  6. Step 6: Final answer
    x = 2.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.