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Finding the Third Proportional to 104,724 and 218,280

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Solution

The third proportional to 104,724 and 218,280 is: 454,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,724 : 218,280 = 218,280 : x
  2. Step 2: Convert to fraction form
    104,724/218,280 = 218,280/x
  3. Step 3: Cross multiply
    104,724x = 218,280 × 218,280
  4. Step 4: Simplify right side
    104,724x = 47,646,158,400
  5. Step 5: Solve for x
    x = 47,646,158,400/104,724
  6. Step 6: Final answer
    x = 454,968.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.