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Finding the Third Proportional to 131,193 and 286,102.13

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Solution

The third proportional to 131,193 and 286,102.13 is: 623,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,193 : 286,102.13 = 286,102.13 : x
  2. Step 2: Convert to fraction form
    131,193/286,102.13 = 286,102.13/x
  3. Step 3: Cross multiply
    131,193x = 286,102.13 × 286,102.13
  4. Step 4: Simplify right side
    131,193x = 81,854,425,929.52
  5. Step 5: Solve for x
    x = 81,854,425,929.52/131,193
  6. Step 6: Final answer
    x = 623,923.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.