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Finding the Third Proportional to 220,896 and 491,724

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Solution

The third proportional to 220,896 and 491,724 is: 1,094,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,896 : 491,724 = 491,724 : x
  2. Step 2: Convert to fraction form
    220,896/491,724 = 491,724/x
  3. Step 3: Cross multiply
    220,896x = 491,724 × 491,724
  4. Step 4: Simplify right side
    220,896x = 241,792,492,176
  5. Step 5: Solve for x
    x = 241,792,492,176/220,896
  6. Step 6: Final answer
    x = 1,094,598.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.