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Finding the Third Proportional to 85,999 and 129,503

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Solution

The third proportional to 85,999 and 129,503 is: 195,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999 : 129,503 = 129,503 : x
  2. Step 2: Convert to fraction form
    85,999/129,503 = 129,503/x
  3. Step 3: Cross multiply
    85,999x = 129,503 × 129,503
  4. Step 4: Simplify right side
    85,999x = 16,771,027,009
  5. Step 5: Solve for x
    x = 16,771,027,009/85,999
  6. Step 6: Final answer
    x = 195,014.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.