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Finding the Third Proportional to 141,907 and 219,745

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Solution

The third proportional to 141,907 and 219,745 is: 340,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,907 : 219,745 = 219,745 : x
  2. Step 2: Convert to fraction form
    141,907/219,745 = 219,745/x
  3. Step 3: Cross multiply
    141,907x = 219,745 × 219,745
  4. Step 4: Simplify right side
    141,907x = 48,287,865,025
  5. Step 5: Solve for x
    x = 48,287,865,025/141,907
  6. Step 6: Final answer
    x = 340,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.