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Finding the Third Proportional to 30.43 and 65.18

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Solution

The third proportional to 30.43 and 65.18 is: 139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.43 : 65.18 = 65.18 : x
  2. Step 2: Convert to fraction form
    30.43/65.18 = 65.18/x
  3. Step 3: Cross multiply
    30.43x = 65.18 × 65.18
  4. Step 4: Simplify right side
    30.43x = 4,248.39
  5. Step 5: Solve for x
    x = 4,248.39/30.43
  6. Step 6: Final answer
    x = 139.62

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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.