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Finding the Third Proportional to 222,580 and 345,102

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Solution

The third proportional to 222,580 and 345,102 is: 535,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,580 : 345,102 = 345,102 : x
  2. Step 2: Convert to fraction form
    222,580/345,102 = 345,102/x
  3. Step 3: Cross multiply
    222,580x = 345,102 × 345,102
  4. Step 4: Simplify right side
    222,580x = 119,095,390,404
  5. Step 5: Solve for x
    x = 119,095,390,404/222,580
  6. Step 6: Final answer
    x = 535,067.80

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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.