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Finding the Third Proportional to 222,759 and 480,294

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Solution

The third proportional to 222,759 and 480,294 is: 1,035,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,759 : 480,294 = 480,294 : x
  2. Step 2: Convert to fraction form
    222,759/480,294 = 480,294/x
  3. Step 3: Cross multiply
    222,759x = 480,294 × 480,294
  4. Step 4: Simplify right side
    222,759x = 230,682,326,436
  5. Step 5: Solve for x
    x = 230,682,326,436/222,759
  6. Step 6: Final answer
    x = 1,035,569.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.