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Finding the Third Proportional to 30 and 43.88

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Solution

The third proportional to 30 and 43.88 is: 64.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 43.88 = 43.88 : x
  2. Step 2: Convert to fraction form
    30/43.88 = 43.88/x
  3. Step 3: Cross multiply
    30x = 43.88 × 43.88
  4. Step 4: Simplify right side
    30x = 1,925.02
  5. Step 5: Solve for x
    x = 1,925.02/30
  6. Step 6: Final answer
    x = 64.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.