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Finding the Third Proportional to 220,931 and 484,872

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Solution

The third proportional to 220,931 and 484,872 is: 1,064,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,931 : 484,872 = 484,872 : x
  2. Step 2: Convert to fraction form
    220,931/484,872 = 484,872/x
  3. Step 3: Cross multiply
    220,931x = 484,872 × 484,872
  4. Step 4: Simplify right side
    220,931x = 235,100,856,384
  5. Step 5: Solve for x
    x = 235,100,856,384/220,931
  6. Step 6: Final answer
    x = 1,064,137.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.