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Finding the Third Proportional to 917,600 and 2,021,822

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Solution

The third proportional to 917,600 and 2,021,822 is: 4,454,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,600 : 2,021,822 = 2,021,822 : x
  2. Step 2: Convert to fraction form
    917,600/2,021,822 = 2,021,822/x
  3. Step 3: Cross multiply
    917,600x = 2,021,822 × 2,021,822
  4. Step 4: Simplify right side
    917,600x = 4,087,764,199,684
  5. Step 5: Solve for x
    x = 4,087,764,199,684/917,600
  6. Step 6: Final answer
    x = 4,454,843.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.