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Finding the Third Proportional to 156,972 and 201,554

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Solution

The third proportional to 156,972 and 201,554 is: 258,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 201,554 = 201,554 : x
  2. Step 2: Convert to fraction form
    156,972/201,554 = 201,554/x
  3. Step 3: Cross multiply
    156,972x = 201,554 × 201,554
  4. Step 4: Simplify right side
    156,972x = 40,624,014,916
  5. Step 5: Solve for x
    x = 40,624,014,916/156,972
  6. Step 6: Final answer
    x = 258,797.84

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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.