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Finding the Third Proportional to 242,702 and 379,895

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Solution

The third proportional to 242,702 and 379,895 is: 594,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702 : 379,895 = 379,895 : x
  2. Step 2: Convert to fraction form
    242,702/379,895 = 379,895/x
  3. Step 3: Cross multiply
    242,702x = 379,895 × 379,895
  4. Step 4: Simplify right side
    242,702x = 144,320,211,025
  5. Step 5: Solve for x
    x = 144,320,211,025/242,702
  6. Step 6: Final answer
    x = 594,639.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.