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Finding the Third Proportional to 221,916 and 488,031

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Solution

The third proportional to 221,916 and 488,031 is: 1,073,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,916 : 488,031 = 488,031 : x
  2. Step 2: Convert to fraction form
    221,916/488,031 = 488,031/x
  3. Step 3: Cross multiply
    221,916x = 488,031 × 488,031
  4. Step 4: Simplify right side
    221,916x = 238,174,256,961
  5. Step 5: Solve for x
    x = 238,174,256,961/221,916
  6. Step 6: Final answer
    x = 1,073,263.11

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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.