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Finding the Third Proportional to 156,975 and 343,612

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Solution

The third proportional to 156,975 and 343,612 is: 752,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,975 : 343,612 = 343,612 : x
  2. Step 2: Convert to fraction form
    156,975/343,612 = 343,612/x
  3. Step 3: Cross multiply
    156,975x = 343,612 × 343,612
  4. Step 4: Simplify right side
    156,975x = 118,069,206,544
  5. Step 5: Solve for x
    x = 118,069,206,544/156,975
  6. Step 6: Final answer
    x = 752,152.93

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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.