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Finding the Third Proportional to 85,823 and 128,247

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Solution

The third proportional to 85,823 and 128,247 is: 191,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823 : 128,247 = 128,247 : x
  2. Step 2: Convert to fraction form
    85,823/128,247 = 128,247/x
  3. Step 3: Cross multiply
    85,823x = 128,247 × 128,247
  4. Step 4: Simplify right side
    85,823x = 16,447,293,009
  5. Step 5: Solve for x
    x = 16,447,293,009/85,823
  6. Step 6: Final answer
    x = 191,642.02

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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.