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Finding the Third Proportional to 178,861 and 250,690

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Solution

The third proportional to 178,861 and 250,690 is: 351,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,861 : 250,690 = 250,690 : x
  2. Step 2: Convert to fraction form
    178,861/250,690 = 250,690/x
  3. Step 3: Cross multiply
    178,861x = 250,690 × 250,690
  4. Step 4: Simplify right side
    178,861x = 62,845,476,100
  5. Step 5: Solve for x
    x = 62,845,476,100/178,861
  6. Step 6: Final answer
    x = 351,364.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.