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Finding the Third Proportional to 921,568 and 2,020,285

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Solution

The third proportional to 921,568 and 2,020,285 is: 4,428,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,568 : 2,020,285 = 2,020,285 : x
  2. Step 2: Convert to fraction form
    921,568/2,020,285 = 2,020,285/x
  3. Step 3: Cross multiply
    921,568x = 2,020,285 × 2,020,285
  4. Step 4: Simplify right side
    921,568x = 4,081,551,481,225
  5. Step 5: Solve for x
    x = 4,081,551,481,225/921,568
  6. Step 6: Final answer
    x = 4,428,920.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.