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Finding the Third Proportional to 65.50 and 132.13

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Solution

The third proportional to 65.50 and 132.13 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 132.13 = 132.13 : x
  2. Step 2: Convert to fraction form
    65.50/132.13 = 132.13/x
  3. Step 3: Cross multiply
    65.50x = 132.13 × 132.13
  4. Step 4: Simplify right side
    65.50x = 17,457.02
  5. Step 5: Solve for x
    x = 17,457.02/65.50
  6. Step 6: Final answer
    x = 266.52

Related Problems

Find third proportional to 32.75 and 66.06
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.