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Finding the Third Proportional to 387,911 and 822,466

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Solution

The third proportional to 387,911 and 822,466 is: 1,743,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,911 : 822,466 = 822,466 : x
  2. Step 2: Convert to fraction form
    387,911/822,466 = 822,466/x
  3. Step 3: Cross multiply
    387,911x = 822,466 × 822,466
  4. Step 4: Simplify right side
    387,911x = 676,450,321,156
  5. Step 5: Solve for x
    x = 676,450,321,156/387,911
  6. Step 6: Final answer
    x = 1,743,828.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.