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Finding the Third Proportional to 101,438.16 and 220,509

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Solution

The third proportional to 101,438.16 and 220,509 is: 479,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.16 : 220,509 = 220,509 : x
  2. Step 2: Convert to fraction form
    101,438.16/220,509 = 220,509/x
  3. Step 3: Cross multiply
    101,438.16x = 220,509 × 220,509
  4. Step 4: Simplify right side
    101,438.16x = 48,624,219,081
  5. Step 5: Solve for x
    x = 48,624,219,081/101,438.16
  6. Step 6: Final answer
    x = 479,348.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.