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Finding the Third Proportional to 223,249 and 340,115

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Solution

The third proportional to 223,249 and 340,115 is: 518,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,249 : 340,115 = 340,115 : x
  2. Step 2: Convert to fraction form
    223,249/340,115 = 340,115/x
  3. Step 3: Cross multiply
    223,249x = 340,115 × 340,115
  4. Step 4: Simplify right side
    223,249x = 115,678,213,225
  5. Step 5: Solve for x
    x = 115,678,213,225/223,249
  6. Step 6: Final answer
    x = 518,157.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.