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Finding the Third Proportional to 156,930 and 201,493

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Solution

The third proportional to 156,930 and 201,493 is: 258,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930 : 201,493 = 201,493 : x
  2. Step 2: Convert to fraction form
    156,930/201,493 = 201,493/x
  3. Step 3: Cross multiply
    156,930x = 201,493 × 201,493
  4. Step 4: Simplify right side
    156,930x = 40,599,429,049
  5. Step 5: Solve for x
    x = 40,599,429,049/156,930
  6. Step 6: Final answer
    x = 258,710.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.