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Finding the Third Proportional to 222,753 and 344,680.50

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Solution

The third proportional to 222,753 and 344,680.50 is: 533,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,753 : 344,680.50 = 344,680.50 : x
  2. Step 2: Convert to fraction form
    222,753/344,680.50 = 344,680.50/x
  3. Step 3: Cross multiply
    222,753x = 344,680.50 × 344,680.50
  4. Step 4: Simplify right side
    222,753x = 118,804,647,080.25
  5. Step 5: Solve for x
    x = 118,804,647,080.25/222,753
  6. Step 6: Final answer
    x = 533,347.01

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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.