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Finding the Third Proportional to 107,728 and 229,280

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Solution

The third proportional to 107,728 and 229,280 is: 487,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,728 : 229,280 = 229,280 : x
  2. Step 2: Convert to fraction form
    107,728/229,280 = 229,280/x
  3. Step 3: Cross multiply
    107,728x = 229,280 × 229,280
  4. Step 4: Simplify right side
    107,728x = 52,569,318,400
  5. Step 5: Solve for x
    x = 52,569,318,400/107,728
  6. Step 6: Final answer
    x = 487,981.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.