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Finding the Third Proportional to 387,884 and 822,417

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Solution

The third proportional to 387,884 and 822,417 is: 1,743,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,884 : 822,417 = 822,417 : x
  2. Step 2: Convert to fraction form
    387,884/822,417 = 822,417/x
  3. Step 3: Cross multiply
    387,884x = 822,417 × 822,417
  4. Step 4: Simplify right side
    387,884x = 676,369,721,889
  5. Step 5: Solve for x
    x = 676,369,721,889/387,884
  6. Step 6: Final answer
    x = 1,743,742.26

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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.