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Finding the Third Proportional to 138,107 and 202,786

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Solution

The third proportional to 138,107 and 202,786 is: 297,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,107 : 202,786 = 202,786 : x
  2. Step 2: Convert to fraction form
    138,107/202,786 = 202,786/x
  3. Step 3: Cross multiply
    138,107x = 202,786 × 202,786
  4. Step 4: Simplify right side
    138,107x = 41,122,161,796
  5. Step 5: Solve for x
    x = 41,122,161,796/138,107
  6. Step 6: Final answer
    x = 297,755.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.