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Finding the Third Proportional to 222,789 and 344,737.50

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Solution

The third proportional to 222,789 and 344,737.50 is: 533,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,789 : 344,737.50 = 344,737.50 : x
  2. Step 2: Convert to fraction form
    222,789/344,737.50 = 344,737.50/x
  3. Step 3: Cross multiply
    222,789x = 344,737.50 × 344,737.50
  4. Step 4: Simplify right side
    222,789x = 118,843,943,906.25
  5. Step 5: Solve for x
    x = 118,843,943,906.25/222,789
  6. Step 6: Final answer
    x = 533,437.22

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