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Finding the Third Proportional to 156,791 and 335,717

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Solution

The third proportional to 156,791 and 335,717 is: 718,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,791 : 335,717 = 335,717 : x
  2. Step 2: Convert to fraction form
    156,791/335,717 = 335,717/x
  3. Step 3: Cross multiply
    156,791x = 335,717 × 335,717
  4. Step 4: Simplify right side
    156,791x = 112,705,904,089
  5. Step 5: Solve for x
    x = 112,705,904,089/156,791
  6. Step 6: Final answer
    x = 718,828.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.