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Finding the Third Proportional to 222,432.75 and 344,709

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Solution

The third proportional to 222,432.75 and 344,709 is: 534,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,432.75 : 344,709 = 344,709 : x
  2. Step 2: Convert to fraction form
    222,432.75/344,709 = 344,709/x
  3. Step 3: Cross multiply
    222,432.75x = 344,709 × 344,709
  4. Step 4: Simplify right side
    222,432.75x = 118,824,294,681
  5. Step 5: Solve for x
    x = 118,824,294,681/222,432.75
  6. Step 6: Final answer
    x = 534,203.24

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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.