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Finding the Third Proportional to 222,740 and 345,426

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Solution

The third proportional to 222,740 and 345,426 is: 535,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,740 : 345,426 = 345,426 : x
  2. Step 2: Convert to fraction form
    222,740/345,426 = 345,426/x
  3. Step 3: Cross multiply
    222,740x = 345,426 × 345,426
  4. Step 4: Simplify right side
    222,740x = 119,319,121,476
  5. Step 5: Solve for x
    x = 119,319,121,476/222,740
  6. Step 6: Final answer
    x = 535,687.89

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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.