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Finding the Third Proportional to 156,927 and 343,011

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Solution

The third proportional to 156,927 and 343,011 is: 749,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,927 : 343,011 = 343,011 : x
  2. Step 2: Convert to fraction form
    156,927/343,011 = 343,011/x
  3. Step 3: Cross multiply
    156,927x = 343,011 × 343,011
  4. Step 4: Simplify right side
    156,927x = 117,656,546,121
  5. Step 5: Solve for x
    x = 117,656,546,121/156,927
  6. Step 6: Final answer
    x = 749,753.36

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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.