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Finding the Third Proportional to 63,380 and 136,808

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Solution

The third proportional to 63,380 and 136,808 is: 295,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380 : 136,808 = 136,808 : x
  2. Step 2: Convert to fraction form
    63,380/136,808 = 136,808/x
  3. Step 3: Cross multiply
    63,380x = 136,808 × 136,808
  4. Step 4: Simplify right side
    63,380x = 18,716,428,864
  5. Step 5: Solve for x
    x = 18,716,428,864/63,380
  6. Step 6: Final answer
    x = 295,304.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.