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Finding the Third Proportional to 155,972 and 343,720

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Solution

The third proportional to 155,972 and 343,720 is: 757,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,972 : 343,720 = 343,720 : x
  2. Step 2: Convert to fraction form
    155,972/343,720 = 343,720/x
  3. Step 3: Cross multiply
    155,972x = 343,720 × 343,720
  4. Step 4: Simplify right side
    155,972x = 118,143,438,400
  5. Step 5: Solve for x
    x = 118,143,438,400/155,972
  6. Step 6: Final answer
    x = 757,465.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.