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Finding the Third Proportional to 156,712.50 and 339,669

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Solution

The third proportional to 156,712.50 and 339,669 is: 736,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,712.50 : 339,669 = 339,669 : x
  2. Step 2: Convert to fraction form
    156,712.50/339,669 = 339,669/x
  3. Step 3: Cross multiply
    156,712.50x = 339,669 × 339,669
  4. Step 4: Simplify right side
    156,712.50x = 115,375,029,561
  5. Step 5: Solve for x
    x = 115,375,029,561/156,712.50
  6. Step 6: Final answer
    x = 736,220.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.