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Finding the Third Proportional to 102,381 and 157,170

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Solution

The third proportional to 102,381 and 157,170 is: 241,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381 : 157,170 = 157,170 : x
  2. Step 2: Convert to fraction form
    102,381/157,170 = 157,170/x
  3. Step 3: Cross multiply
    102,381x = 157,170 × 157,170
  4. Step 4: Simplify right side
    102,381x = 24,702,408,900
  5. Step 5: Solve for x
    x = 24,702,408,900/102,381
  6. Step 6: Final answer
    x = 241,279.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.