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Finding the Third Proportional to 222,278 and 486,718

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Solution

The third proportional to 222,278 and 486,718 is: 1,065,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,278 : 486,718 = 486,718 : x
  2. Step 2: Convert to fraction form
    222,278/486,718 = 486,718/x
  3. Step 3: Cross multiply
    222,278x = 486,718 × 486,718
  4. Step 4: Simplify right side
    222,278x = 236,894,411,524
  5. Step 5: Solve for x
    x = 236,894,411,524/222,278
  6. Step 6: Final answer
    x = 1,065,757.35

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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.