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Finding the Third Proportional to 156,957 and 343,256

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Solution

The third proportional to 156,957 and 343,256 is: 750,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957 : 343,256 = 343,256 : x
  2. Step 2: Convert to fraction form
    156,957/343,256 = 343,256/x
  3. Step 3: Cross multiply
    156,957x = 343,256 × 343,256
  4. Step 4: Simplify right side
    156,957x = 117,824,681,536
  5. Step 5: Solve for x
    x = 117,824,681,536/156,957
  6. Step 6: Final answer
    x = 750,681.28

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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.