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Finding the Third Proportional to 387,912 and 822,468

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Solution

The third proportional to 387,912 and 822,468 is: 1,743,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,912 : 822,468 = 822,468 : x
  2. Step 2: Convert to fraction form
    387,912/822,468 = 822,468/x
  3. Step 3: Cross multiply
    387,912x = 822,468 × 822,468
  4. Step 4: Simplify right side
    387,912x = 676,453,611,024
  5. Step 5: Solve for x
    x = 676,453,611,024/387,912
  6. Step 6: Final answer
    x = 1,743,832.65

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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.