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Finding the Third Proportional to 102,960 and 221,328

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Solution

The third proportional to 102,960 and 221,328 is: 475,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960 : 221,328 = 221,328 : x
  2. Step 2: Convert to fraction form
    102,960/221,328 = 221,328/x
  3. Step 3: Cross multiply
    102,960x = 221,328 × 221,328
  4. Step 4: Simplify right side
    102,960x = 48,986,083,584
  5. Step 5: Solve for x
    x = 48,986,083,584/102,960
  6. Step 6: Final answer
    x = 475,777.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.