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Finding the Third Proportional to 52.13 and 128.06

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Solution

The third proportional to 52.13 and 128.06 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 128.06 = 128.06 : x
  2. Step 2: Convert to fraction form
    52.13/128.06 = 128.06/x
  3. Step 3: Cross multiply
    52.13x = 128.06 × 128.06
  4. Step 4: Simplify right side
    52.13x = 16,400.00
  5. Step 5: Solve for x
    x = 16,400.00/52.13
  6. Step 6: Final answer
    x = 314.63

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.