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Finding the Third Proportional to 420,228.56 and 630,773.06

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Solution

The third proportional to 420,228.56 and 630,773.06 is: 946,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,228.56 : 630,773.06 = 630,773.06 : x
  2. Step 2: Convert to fraction form
    420,228.56/630,773.06 = 630,773.06/x
  3. Step 3: Cross multiply
    420,228.56x = 630,773.06 × 630,773.06
  4. Step 4: Simplify right side
    420,228.56x = 397,874,656,375.63
  5. Step 5: Solve for x
    x = 397,874,656,375.63/420,228.56
  6. Step 6: Final answer
    x = 946,805.36

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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.