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Finding the Third Proportional to 30.19 and 65.86

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Solution

The third proportional to 30.19 and 65.86 is: 143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.19 : 65.86 = 65.86 : x
  2. Step 2: Convert to fraction form
    30.19/65.86 = 65.86/x
  3. Step 3: Cross multiply
    30.19x = 65.86 × 65.86
  4. Step 4: Simplify right side
    30.19x = 4,337.46
  5. Step 5: Solve for x
    x = 4,337.46/30.19
  6. Step 6: Final answer
    x = 143.68

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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.