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Finding the Third Proportional to 203,620.50 and 425,830.50

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Solution

The third proportional to 203,620.50 and 425,830.50 is: 890,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,620.50 : 425,830.50 = 425,830.50 : x
  2. Step 2: Convert to fraction form
    203,620.50/425,830.50 = 425,830.50/x
  3. Step 3: Cross multiply
    203,620.50x = 425,830.50 × 425,830.50
  4. Step 4: Simplify right side
    203,620.50x = 181,331,614,730.25
  5. Step 5: Solve for x
    x = 181,331,614,730.25/203,620.50
  6. Step 6: Final answer
    x = 890,537.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.