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Finding the Third Proportional to 85,835 and 128,265

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Solution

The third proportional to 85,835 and 128,265 is: 191,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,835 : 128,265 = 128,265 : x
  2. Step 2: Convert to fraction form
    85,835/128,265 = 128,265/x
  3. Step 3: Cross multiply
    85,835x = 128,265 × 128,265
  4. Step 4: Simplify right side
    85,835x = 16,451,910,225
  5. Step 5: Solve for x
    x = 16,451,910,225/85,835
  6. Step 6: Final answer
    x = 191,669.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.