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Finding the Third Proportional to 85,257 and 129,073.50

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Solution

The third proportional to 85,257 and 129,073.50 is: 195,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257 : 129,073.50 = 129,073.50 : x
  2. Step 2: Convert to fraction form
    85,257/129,073.50 = 129,073.50/x
  3. Step 3: Cross multiply
    85,257x = 129,073.50 × 129,073.50
  4. Step 4: Simplify right side
    85,257x = 16,659,968,402.25
  5. Step 5: Solve for x
    x = 16,659,968,402.25/85,257
  6. Step 6: Final answer
    x = 195,408.80

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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.