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Finding the Third Proportional to 103,476 and 222,804

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Solution

The third proportional to 103,476 and 222,804 is: 479,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,476 : 222,804 = 222,804 : x
  2. Step 2: Convert to fraction form
    103,476/222,804 = 222,804/x
  3. Step 3: Cross multiply
    103,476x = 222,804 × 222,804
  4. Step 4: Simplify right side
    103,476x = 49,641,622,416
  5. Step 5: Solve for x
    x = 49,641,622,416/103,476
  6. Step 6: Final answer
    x = 479,740.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.