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Finding the Third Proportional to 222,284.25 and 344,695.50

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Solution

The third proportional to 222,284.25 and 344,695.50 is: 534,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,284.25 : 344,695.50 = 344,695.50 : x
  2. Step 2: Convert to fraction form
    222,284.25/344,695.50 = 344,695.50/x
  3. Step 3: Cross multiply
    222,284.25x = 344,695.50 × 344,695.50
  4. Step 4: Simplify right side
    222,284.25x = 118,814,987,720.25
  5. Step 5: Solve for x
    x = 118,814,987,720.25/222,284.25
  6. Step 6: Final answer
    x = 534,518.25

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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.