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Finding the Third Proportional to 242,247 and 371,845

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Solution

The third proportional to 242,247 and 371,845 is: 570,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,247 : 371,845 = 371,845 : x
  2. Step 2: Convert to fraction form
    242,247/371,845 = 371,845/x
  3. Step 3: Cross multiply
    242,247x = 371,845 × 371,845
  4. Step 4: Simplify right side
    242,247x = 138,268,704,025
  5. Step 5: Solve for x
    x = 138,268,704,025/242,247
  6. Step 6: Final answer
    x = 570,775.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.