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Finding the Third Proportional to 141,811 and 211,717

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Solution

The third proportional to 141,811 and 211,717 is: 316,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,811 : 211,717 = 211,717 : x
  2. Step 2: Convert to fraction form
    141,811/211,717 = 211,717/x
  3. Step 3: Cross multiply
    141,811x = 211,717 × 211,717
  4. Step 4: Simplify right side
    141,811x = 44,824,088,089
  5. Step 5: Solve for x
    x = 44,824,088,089/141,811
  6. Step 6: Final answer
    x = 316,083.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.