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Finding the Third Proportional to 162,702 and 380,115

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Solution

The third proportional to 162,702 and 380,115 is: 888,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,702 : 380,115 = 380,115 : x
  2. Step 2: Convert to fraction form
    162,702/380,115 = 380,115/x
  3. Step 3: Cross multiply
    162,702x = 380,115 × 380,115
  4. Step 4: Simplify right side
    162,702x = 144,487,413,225
  5. Step 5: Solve for x
    x = 144,487,413,225/162,702
  6. Step 6: Final answer
    x = 888,049.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.