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Finding the Third Proportional to 178,920 and 250,779

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Solution

The third proportional to 178,920 and 250,779 is: 351,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920 : 250,779 = 250,779 : x
  2. Step 2: Convert to fraction form
    178,920/250,779 = 250,779/x
  3. Step 3: Cross multiply
    178,920x = 250,779 × 250,779
  4. Step 4: Simplify right side
    178,920x = 62,890,106,841
  5. Step 5: Solve for x
    x = 62,890,106,841/178,920
  6. Step 6: Final answer
    x = 351,498.47

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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.