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Finding the Third Proportional to 156,791 and 343,605

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Solution

The third proportional to 156,791 and 343,605 is: 753,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,791 : 343,605 = 343,605 : x
  2. Step 2: Convert to fraction form
    156,791/343,605 = 343,605/x
  3. Step 3: Cross multiply
    156,791x = 343,605 × 343,605
  4. Step 4: Simplify right side
    156,791x = 118,064,396,025
  5. Step 5: Solve for x
    x = 118,064,396,025/156,791
  6. Step 6: Final answer
    x = 753,004.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.