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Finding the Third Proportional to 156,987 and 339,875

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Solution

The third proportional to 156,987 and 339,875 is: 735,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,987 : 339,875 = 339,875 : x
  2. Step 2: Convert to fraction form
    156,987/339,875 = 339,875/x
  3. Step 3: Cross multiply
    156,987x = 339,875 × 339,875
  4. Step 4: Simplify right side
    156,987x = 115,515,015,625
  5. Step 5: Solve for x
    x = 115,515,015,625/156,987
  6. Step 6: Final answer
    x = 735,825.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.