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Finding the Third Proportional to 114,239 and 178,649

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Solution

The third proportional to 114,239 and 178,649 is: 279,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,239 : 178,649 = 178,649 : x
  2. Step 2: Convert to fraction form
    114,239/178,649 = 178,649/x
  3. Step 3: Cross multiply
    114,239x = 178,649 × 178,649
  4. Step 4: Simplify right side
    114,239x = 31,915,465,201
  5. Step 5: Solve for x
    x = 31,915,465,201/114,239
  6. Step 6: Final answer
    x = 279,374.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.