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Finding the Third Proportional to 141,905 and 219,742

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Solution

The third proportional to 141,905 and 219,742 is: 340,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905 : 219,742 = 219,742 : x
  2. Step 2: Convert to fraction form
    141,905/219,742 = 219,742/x
  3. Step 3: Cross multiply
    141,905x = 219,742 × 219,742
  4. Step 4: Simplify right side
    141,905x = 48,286,546,564
  5. Step 5: Solve for x
    x = 48,286,546,564/141,905
  6. Step 6: Final answer
    x = 340,273.75

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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.