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Finding the Third Proportional to 63,168 and 136,128

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Solution

The third proportional to 63,168 and 136,128 is: 293,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,168 : 136,128 = 136,128 : x
  2. Step 2: Convert to fraction form
    63,168/136,128 = 136,128/x
  3. Step 3: Cross multiply
    63,168x = 136,128 × 136,128
  4. Step 4: Simplify right side
    63,168x = 18,530,832,384
  5. Step 5: Solve for x
    x = 18,530,832,384/63,168
  6. Step 6: Final answer
    x = 293,357.91

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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.