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Finding the Third Proportional to 407,922 and 864,468

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Solution

The third proportional to 407,922 and 864,468 is: 1,831,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,922 : 864,468 = 864,468 : x
  2. Step 2: Convert to fraction form
    407,922/864,468 = 864,468/x
  3. Step 3: Cross multiply
    407,922x = 864,468 × 864,468
  4. Step 4: Simplify right side
    407,922x = 747,304,923,024
  5. Step 5: Solve for x
    x = 747,304,923,024/407,922
  6. Step 6: Final answer
    x = 1,831,979.94

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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.