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Finding the Third Proportional to 63,228 and 136,308

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Solution

The third proportional to 63,228 and 136,308 is: 293,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,228 : 136,308 = 136,308 : x
  2. Step 2: Convert to fraction form
    63,228/136,308 = 136,308/x
  3. Step 3: Cross multiply
    63,228x = 136,308 × 136,308
  4. Step 4: Simplify right side
    63,228x = 18,579,870,864
  5. Step 5: Solve for x
    x = 18,579,870,864/63,228
  6. Step 6: Final answer
    x = 293,855.11

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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.