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Finding the Third Proportional to 139,251 and 242,775

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Solution

The third proportional to 139,251 and 242,775 is: 423,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,251 : 242,775 = 242,775 : x
  2. Step 2: Convert to fraction form
    139,251/242,775 = 242,775/x
  3. Step 3: Cross multiply
    139,251x = 242,775 × 242,775
  4. Step 4: Simplify right side
    139,251x = 58,939,700,625
  5. Step 5: Solve for x
    x = 58,939,700,625/139,251
  6. Step 6: Final answer
    x = 423,262.31

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.