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Finding the Third Proportional to 223,116 and 339,902

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Solution

The third proportional to 223,116 and 339,902 is: 517,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,116 : 339,902 = 339,902 : x
  2. Step 2: Convert to fraction form
    223,116/339,902 = 339,902/x
  3. Step 3: Cross multiply
    223,116x = 339,902 × 339,902
  4. Step 4: Simplify right side
    223,116x = 115,533,369,604
  5. Step 5: Solve for x
    x = 115,533,369,604/223,116
  6. Step 6: Final answer
    x = 517,817.50

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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.