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Finding the Third Proportional to 420,109.03 and 630,471.09

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Solution

The third proportional to 420,109.03 and 630,471.09 is: 946,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,109.03 : 630,471.09 = 630,471.09 : x
  2. Step 2: Convert to fraction form
    420,109.03/630,471.09 = 630,471.09/x
  3. Step 3: Cross multiply
    420,109.03x = 630,471.09 × 630,471.09
  4. Step 4: Simplify right side
    420,109.03x = 397,493,800,054.32
  5. Step 5: Solve for x
    x = 397,493,800,054.32/420,109.03
  6. Step 6: Final answer
    x = 946,168.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.