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Finding the Third Proportional to 85,108.13 and 128,029.31

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Solution

The third proportional to 85,108.13 and 128,029.31 is: 192,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,108.13 : 128,029.31 = 128,029.31 : x
  2. Step 2: Convert to fraction form
    85,108.13/128,029.31 = 128,029.31/x
  3. Step 3: Cross multiply
    85,108.13x = 128,029.31 × 128,029.31
  4. Step 4: Simplify right side
    85,108.13x = 16,391,504,859.22
  5. Step 5: Solve for x
    x = 16,391,504,859.22/85,108.13
  6. Step 6: Final answer
    x = 192,596.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.