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Finding the Third Proportional to 156,102 and 331,648

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Solution

The third proportional to 156,102 and 331,648 is: 704,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,102 : 331,648 = 331,648 : x
  2. Step 2: Convert to fraction form
    156,102/331,648 = 331,648/x
  3. Step 3: Cross multiply
    156,102x = 331,648 × 331,648
  4. Step 4: Simplify right side
    156,102x = 109,990,395,904
  5. Step 5: Solve for x
    x = 109,990,395,904/156,102
  6. Step 6: Final answer
    x = 704,605.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.