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Finding the Third Proportional to 101,436.75 and 220,369.50

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Solution

The third proportional to 101,436.75 and 220,369.50 is: 478,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,436.75 : 220,369.50 = 220,369.50 : x
  2. Step 2: Convert to fraction form
    101,436.75/220,369.50 = 220,369.50/x
  3. Step 3: Cross multiply
    101,436.75x = 220,369.50 × 220,369.50
  4. Step 4: Simplify right side
    101,436.75x = 48,562,716,530.25
  5. Step 5: Solve for x
    x = 48,562,716,530.25/101,436.75
  6. Step 6: Final answer
    x = 478,748.74

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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.