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Finding the Third Proportional to 84,770.25 and 128,247

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Solution

The third proportional to 84,770.25 and 128,247 is: 194,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770.25 : 128,247 = 128,247 : x
  2. Step 2: Convert to fraction form
    84,770.25/128,247 = 128,247/x
  3. Step 3: Cross multiply
    84,770.25x = 128,247 × 128,247
  4. Step 4: Simplify right side
    84,770.25x = 16,447,293,009
  5. Step 5: Solve for x
    x = 16,447,293,009/84,770.25
  6. Step 6: Final answer
    x = 194,021.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.