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Finding the Third Proportional to 220,235 and 480,919

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Solution

The third proportional to 220,235 and 480,919 is: 1,050,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,235 : 480,919 = 480,919 : x
  2. Step 2: Convert to fraction form
    220,235/480,919 = 480,919/x
  3. Step 3: Cross multiply
    220,235x = 480,919 × 480,919
  4. Step 4: Simplify right side
    220,235x = 231,283,084,561
  5. Step 5: Solve for x
    x = 231,283,084,561/220,235
  6. Step 6: Final answer
    x = 1,050,164.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.