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Finding the Third Proportional to 222,982 and 345,513

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Solution

The third proportional to 222,982 and 345,513 is: 535,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,982 : 345,513 = 345,513 : x
  2. Step 2: Convert to fraction form
    222,982/345,513 = 345,513/x
  3. Step 3: Cross multiply
    222,982x = 345,513 × 345,513
  4. Step 4: Simplify right side
    222,982x = 119,379,233,169
  5. Step 5: Solve for x
    x = 119,379,233,169/222,982
  6. Step 6: Final answer
    x = 535,376.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.