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Finding the Third Proportional to 475,680.09 and 728,589.94

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Solution

The third proportional to 475,680.09 and 728,589.94 is: 1,115,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,680.09 : 728,589.94 = 728,589.94 : x
  2. Step 2: Convert to fraction form
    475,680.09/728,589.94 = 728,589.94/x
  3. Step 3: Cross multiply
    475,680.09x = 728,589.94 × 728,589.94
  4. Step 4: Simplify right side
    475,680.09x = 530,843,297,026.25
  5. Step 5: Solve for x
    x = 530,843,297,026.25/475,680.09
  6. Step 6: Final answer
    x = 1,115,967.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.