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Finding the Third Proportional to 1.07 and 2.60

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Solution

The third proportional to 1.07 and 2.60 is: 6.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.07 : 2.60 = 2.60 : x
  2. Step 2: Convert to fraction form
    1.07/2.60 = 2.60/x
  3. Step 3: Cross multiply
    1.07x = 2.60 × 2.60
  4. Step 4: Simplify right side
    1.07x = 6.74
  5. Step 5: Solve for x
    x = 6.74/1.07
  6. Step 6: Final answer
    x = 6.32

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.