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Finding the Third Proportional to 30.34 and 64.28

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Solution

The third proportional to 30.34 and 64.28 is: 136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.34 : 64.28 = 64.28 : x
  2. Step 2: Convert to fraction form
    30.34/64.28 = 64.28/x
  3. Step 3: Cross multiply
    30.34x = 64.28 × 64.28
  4. Step 4: Simplify right side
    30.34x = 4,132.08
  5. Step 5: Solve for x
    x = 4,132.08/30.34
  6. Step 6: Final answer
    x = 136.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.