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Finding the Third Proportional to 85,856 and 131,335

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Solution

The third proportional to 85,856 and 131,335 is: 200,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,856 : 131,335 = 131,335 : x
  2. Step 2: Convert to fraction form
    85,856/131,335 = 131,335/x
  3. Step 3: Cross multiply
    85,856x = 131,335 × 131,335
  4. Step 4: Simplify right side
    85,856x = 17,248,882,225
  5. Step 5: Solve for x
    x = 17,248,882,225/85,856
  6. Step 6: Final answer
    x = 200,904.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.