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Finding the Third Proportional to 141,817 and 305,138

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Solution

The third proportional to 141,817 and 305,138 is: 656,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,817 : 305,138 = 305,138 : x
  2. Step 2: Convert to fraction form
    141,817/305,138 = 305,138/x
  3. Step 3: Cross multiply
    141,817x = 305,138 × 305,138
  4. Step 4: Simplify right side
    141,817x = 93,109,199,044
  5. Step 5: Solve for x
    x = 93,109,199,044/141,817
  6. Step 6: Final answer
    x = 656,544.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.