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Finding the Third Proportional to 221,913 and 488,025

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Solution

The third proportional to 221,913 and 488,025 is: 1,073,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,913 : 488,025 = 488,025 : x
  2. Step 2: Convert to fraction form
    221,913/488,025 = 488,025/x
  3. Step 3: Cross multiply
    221,913x = 488,025 × 488,025
  4. Step 4: Simplify right side
    221,913x = 238,168,400,625
  5. Step 5: Solve for x
    x = 238,168,400,625/221,913
  6. Step 6: Final answer
    x = 1,073,251.23

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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.