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Finding the Third Proportional to 139,974.75 and 212,554.13

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Solution

The third proportional to 139,974.75 and 212,554.13 is: 322,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,974.75 : 212,554.13 = 212,554.13 : x
  2. Step 2: Convert to fraction form
    139,974.75/212,554.13 = 212,554.13/x
  3. Step 3: Cross multiply
    139,974.75x = 212,554.13 × 212,554.13
  4. Step 4: Simplify right side
    139,974.75x = 45,179,256,054.52
  5. Step 5: Solve for x
    x = 45,179,256,054.52/139,974.75
  6. Step 6: Final answer
    x = 322,767.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.