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Finding the Third Proportional to 220,258 and 480,972

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Solution

The third proportional to 220,258 and 480,972 is: 1,050,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,258 : 480,972 = 480,972 : x
  2. Step 2: Convert to fraction form
    220,258/480,972 = 480,972/x
  3. Step 3: Cross multiply
    220,258x = 480,972 × 480,972
  4. Step 4: Simplify right side
    220,258x = 231,334,064,784
  5. Step 5: Solve for x
    x = 231,334,064,784/220,258
  6. Step 6: Final answer
    x = 1,050,286.78

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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.