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Finding the Third Proportional to 30.84 and 64.16

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Solution

The third proportional to 30.84 and 64.16 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 64.16 = 64.16 : x
  2. Step 2: Convert to fraction form
    30.84/64.16 = 64.16/x
  3. Step 3: Cross multiply
    30.84x = 64.16 × 64.16
  4. Step 4: Simplify right side
    30.84x = 4,116.02
  5. Step 5: Solve for x
    x = 4,116.02/30.84
  6. Step 6: Final answer
    x = 133.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.