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Finding the Third Proportional to 178,990 and 250,853

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Solution

The third proportional to 178,990 and 250,853 is: 351,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,990 : 250,853 = 250,853 : x
  2. Step 2: Convert to fraction form
    178,990/250,853 = 250,853/x
  3. Step 3: Cross multiply
    178,990x = 250,853 × 250,853
  4. Step 4: Simplify right side
    178,990x = 62,927,227,609
  5. Step 5: Solve for x
    x = 62,927,227,609/178,990
  6. Step 6: Final answer
    x = 351,568.40

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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.