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Finding the Third Proportional to 156,938 and 201,503

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Solution

The third proportional to 156,938 and 201,503 is: 258,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 201,503 = 201,503 : x
  2. Step 2: Convert to fraction form
    156,938/201,503 = 201,503/x
  3. Step 3: Cross multiply
    156,938x = 201,503 × 201,503
  4. Step 4: Simplify right side
    156,938x = 40,603,459,009
  5. Step 5: Solve for x
    x = 40,603,459,009/156,938
  6. Step 6: Final answer
    x = 258,722.93

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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.