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Finding the Third Proportional to 126.75 and 253.50

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Solution

The third proportional to 126.75 and 253.50 is: 507

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 253.50 = 253.50 : x
  2. Step 2: Convert to fraction form
    126.75/253.50 = 253.50/x
  3. Step 3: Cross multiply
    126.75x = 253.50 × 253.50
  4. Step 4: Simplify right side
    126.75x = 64,262.25
  5. Step 5: Solve for x
    x = 64,262.25/126.75
  6. Step 6: Final answer
    x = 507

Related Problems

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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) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.