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Finding the Third Proportional to 475,805 and 645,879

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Solution

The third proportional to 475,805 and 645,879 is: 876,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,805 : 645,879 = 645,879 : x
  2. Step 2: Convert to fraction form
    475,805/645,879 = 645,879/x
  3. Step 3: Cross multiply
    475,805x = 645,879 × 645,879
  4. Step 4: Simplify right side
    475,805x = 417,159,682,641
  5. Step 5: Solve for x
    x = 417,159,682,641/475,805
  6. Step 6: Final answer
    x = 876,745.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.