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Finding the Third Proportional to 221,918 and 488,035

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Solution

The third proportional to 221,918 and 488,035 is: 1,073,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,918 : 488,035 = 488,035 : x
  2. Step 2: Convert to fraction form
    221,918/488,035 = 488,035/x
  3. Step 3: Cross multiply
    221,918x = 488,035 × 488,035
  4. Step 4: Simplify right side
    221,918x = 238,178,161,225
  5. Step 5: Solve for x
    x = 238,178,161,225/221,918
  6. Step 6: Final answer
    x = 1,073,271.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.