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Finding the Third Proportional to 85,236 and 133,416

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Solution

The third proportional to 85,236 and 133,416 is: 208,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,236 : 133,416 = 133,416 : x
  2. Step 2: Convert to fraction form
    85,236/133,416 = 133,416/x
  3. Step 3: Cross multiply
    85,236x = 133,416 × 133,416
  4. Step 4: Simplify right side
    85,236x = 17,799,829,056
  5. Step 5: Solve for x
    x = 17,799,829,056/85,236
  6. Step 6: Final answer
    x = 208,829.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.