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Finding the Third Proportional to 222,338 and 486,840

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Solution

The third proportional to 222,338 and 486,840 is: 1,066,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,338 : 486,840 = 486,840 : x
  2. Step 2: Convert to fraction form
    222,338/486,840 = 486,840/x
  3. Step 3: Cross multiply
    222,338x = 486,840 × 486,840
  4. Step 4: Simplify right side
    222,338x = 237,013,185,600
  5. Step 5: Solve for x
    x = 237,013,185,600/222,338
  6. Step 6: Final answer
    x = 1,066,003.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.