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Finding the Third Proportional to 65.10 and 139.44

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Solution

The third proportional to 65.10 and 139.44 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 139.44 = 139.44 : x
  2. Step 2: Convert to fraction form
    65.10/139.44 = 139.44/x
  3. Step 3: Cross multiply
    65.10x = 139.44 × 139.44
  4. Step 4: Simplify right side
    65.10x = 19,442.48
  5. Step 5: Solve for x
    x = 19,442.48/65.10
  6. Step 6: Final answer
    x = 298.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.