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Finding the Third Proportional to 64,185 and 143,127

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Solution

The third proportional to 64,185 and 143,127 is: 319,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,185 : 143,127 = 143,127 : x
  2. Step 2: Convert to fraction form
    64,185/143,127 = 143,127/x
  3. Step 3: Cross multiply
    64,185x = 143,127 × 143,127
  4. Step 4: Simplify right side
    64,185x = 20,485,338,129
  5. Step 5: Solve for x
    x = 20,485,338,129/64,185
  6. Step 6: Final answer
    x = 319,160.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.