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Finding the Third Proportional to 102,460 and 219,728

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Solution

The third proportional to 102,460 and 219,728 is: 471,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,460 : 219,728 = 219,728 : x
  2. Step 2: Convert to fraction form
    102,460/219,728 = 219,728/x
  3. Step 3: Cross multiply
    102,460x = 219,728 × 219,728
  4. Step 4: Simplify right side
    102,460x = 48,280,393,984
  5. Step 5: Solve for x
    x = 48,280,393,984/102,460
  6. Step 6: Final answer
    x = 471,212.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.