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Finding the Third Proportional to 921,569 and 2,020,286

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Solution

The third proportional to 921,569 and 2,020,286 is: 4,428,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,569 : 2,020,286 = 2,020,286 : x
  2. Step 2: Convert to fraction form
    921,569/2,020,286 = 2,020,286/x
  3. Step 3: Cross multiply
    921,569x = 2,020,286 × 2,020,286
  4. Step 4: Simplify right side
    921,569x = 4,081,555,521,796
  5. Step 5: Solve for x
    x = 4,081,555,521,796/921,569
  6. Step 6: Final answer
    x = 4,428,920.16

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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.