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Finding the Third Proportional to 609,658 and 822,399

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Solution

The third proportional to 609,658 and 822,399 is: 1,109,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,658 : 822,399 = 822,399 : x
  2. Step 2: Convert to fraction form
    609,658/822,399 = 822,399/x
  3. Step 3: Cross multiply
    609,658x = 822,399 × 822,399
  4. Step 4: Simplify right side
    609,658x = 676,340,115,201
  5. Step 5: Solve for x
    x = 676,340,115,201/609,658
  6. Step 6: Final answer
    x = 1,109,376.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.