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Finding the Third Proportional to 154,186 and 231,278

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Solution

The third proportional to 154,186 and 231,278 is: 346,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,186 : 231,278 = 231,278 : x
  2. Step 2: Convert to fraction form
    154,186/231,278 = 231,278/x
  3. Step 3: Cross multiply
    154,186x = 231,278 × 231,278
  4. Step 4: Simplify right side
    154,186x = 53,489,513,284
  5. Step 5: Solve for x
    x = 53,489,513,284/154,186
  6. Step 6: Final answer
    x = 346,915.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.