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Finding the Third Proportional to 385,922 and 822,820

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Solution

The third proportional to 385,922 and 822,820 is: 1,754,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,922 : 822,820 = 822,820 : x
  2. Step 2: Convert to fraction form
    385,922/822,820 = 822,820/x
  3. Step 3: Cross multiply
    385,922x = 822,820 × 822,820
  4. Step 4: Simplify right side
    385,922x = 677,032,752,400
  5. Step 5: Solve for x
    x = 677,032,752,400/385,922
  6. Step 6: Final answer
    x = 1,754,325.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.