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Finding the Third Proportional to 102,768.75 and 221,859

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Solution

The third proportional to 102,768.75 and 221,859 is: 478,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,768.75 : 221,859 = 221,859 : x
  2. Step 2: Convert to fraction form
    102,768.75/221,859 = 221,859/x
  3. Step 3: Cross multiply
    102,768.75x = 221,859 × 221,859
  4. Step 4: Simplify right side
    102,768.75x = 49,221,415,881
  5. Step 5: Solve for x
    x = 49,221,415,881/102,768.75
  6. Step 6: Final answer
    x = 478,953.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.