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Finding the Third Proportional to 85,904 and 129,797.50

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Solution

The third proportional to 85,904 and 129,797.50 is: 196,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904 : 129,797.50 = 129,797.50 : x
  2. Step 2: Convert to fraction form
    85,904/129,797.50 = 129,797.50/x
  3. Step 3: Cross multiply
    85,904x = 129,797.50 × 129,797.50
  4. Step 4: Simplify right side
    85,904x = 16,847,391,006.25
  5. Step 5: Solve for x
    x = 16,847,391,006.25/85,904
  6. Step 6: Final answer
    x = 196,118.82

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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.