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Finding the Third Proportional to 114,978 and 154,509

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Solution

The third proportional to 114,978 and 154,509 is: 207,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978 : 154,509 = 154,509 : x
  2. Step 2: Convert to fraction form
    114,978/154,509 = 154,509/x
  3. Step 3: Cross multiply
    114,978x = 154,509 × 154,509
  4. Step 4: Simplify right side
    114,978x = 23,873,031,081
  5. Step 5: Solve for x
    x = 23,873,031,081/114,978
  6. Step 6: Final answer
    x = 207,631.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.