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Finding the Third Proportional to 63,185 and 135,118

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Solution

The third proportional to 63,185 and 135,118 is: 288,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,185 : 135,118 = 135,118 : x
  2. Step 2: Convert to fraction form
    63,185/135,118 = 135,118/x
  3. Step 3: Cross multiply
    63,185x = 135,118 × 135,118
  4. Step 4: Simplify right side
    63,185x = 18,256,873,924
  5. Step 5: Solve for x
    x = 18,256,873,924/63,185
  6. Step 6: Final answer
    x = 288,943.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.