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Finding the Third Proportional to 101,128 and 220,688

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Solution

The third proportional to 101,128 and 220,688 is: 481,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,128 : 220,688 = 220,688 : x
  2. Step 2: Convert to fraction form
    101,128/220,688 = 220,688/x
  3. Step 3: Cross multiply
    101,128x = 220,688 × 220,688
  4. Step 4: Simplify right side
    101,128x = 48,703,193,344
  5. Step 5: Solve for x
    x = 48,703,193,344/101,128
  6. Step 6: Final answer
    x = 481,599.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.