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Finding the Third Proportional to 104,533 and 159,257.50

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Solution

The third proportional to 104,533 and 159,257.50 is: 242,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,533 : 159,257.50 = 159,257.50 : x
  2. Step 2: Convert to fraction form
    104,533/159,257.50 = 159,257.50/x
  3. Step 3: Cross multiply
    104,533x = 159,257.50 × 159,257.50
  4. Step 4: Simplify right side
    104,533x = 25,362,951,306.25
  5. Step 5: Solve for x
    x = 25,362,951,306.25/104,533
  6. Step 6: Final answer
    x = 242,631.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.