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Finding the Third Proportional to 123,018.75 and 161,534.25

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Solution

The third proportional to 123,018.75 and 161,534.25 is: 212,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,018.75 : 161,534.25 = 161,534.25 : x
  2. Step 2: Convert to fraction form
    123,018.75/161,534.25 = 161,534.25/x
  3. Step 3: Cross multiply
    123,018.75x = 161,534.25 × 161,534.25
  4. Step 4: Simplify right side
    123,018.75x = 26,093,313,923.06
  5. Step 5: Solve for x
    x = 26,093,313,923.06/123,018.75
  6. Step 6: Final answer
    x = 212,108.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.