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Finding the Third Proportional to 78,903 and 122,247

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Solution

The third proportional to 78,903 and 122,247 is: 189,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,903 : 122,247 = 122,247 : x
  2. Step 2: Convert to fraction form
    78,903/122,247 = 122,247/x
  3. Step 3: Cross multiply
    78,903x = 122,247 × 122,247
  4. Step 4: Simplify right side
    78,903x = 14,944,329,009
  5. Step 5: Solve for x
    x = 14,944,329,009/78,903
  6. Step 6: Final answer
    x = 189,401.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.