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Finding the Third Proportional to 223,266 and 484,278

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Solution

The third proportional to 223,266 and 484,278 is: 1,050,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266 : 484,278 = 484,278 : x
  2. Step 2: Convert to fraction form
    223,266/484,278 = 484,278/x
  3. Step 3: Cross multiply
    223,266x = 484,278 × 484,278
  4. Step 4: Simplify right side
    223,266x = 234,525,181,284
  5. Step 5: Solve for x
    x = 234,525,181,284/223,266
  6. Step 6: Final answer
    x = 1,050,429.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.