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Finding the Third Proportional to 156,963 and 201,543

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Solution

The third proportional to 156,963 and 201,543 is: 258,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963 : 201,543 = 201,543 : x
  2. Step 2: Convert to fraction form
    156,963/201,543 = 201,543/x
  3. Step 3: Cross multiply
    156,963x = 201,543 × 201,543
  4. Step 4: Simplify right side
    156,963x = 40,619,580,849
  5. Step 5: Solve for x
    x = 40,619,580,849/156,963
  6. Step 6: Final answer
    x = 258,784.43

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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.