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Finding the Third Proportional to 203,810 and 293,564.50

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Solution

The third proportional to 203,810 and 293,564.50 is: 422,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,810 : 293,564.50 = 293,564.50 : x
  2. Step 2: Convert to fraction form
    203,810/293,564.50 = 293,564.50/x
  3. Step 3: Cross multiply
    203,810x = 293,564.50 × 293,564.50
  4. Step 4: Simplify right side
    203,810x = 86,180,115,660.25
  5. Step 5: Solve for x
    x = 86,180,115,660.25/203,810
  6. Step 6: Final answer
    x = 422,845.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.