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Finding the Third Proportional to 101,280.50 and 220,784

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Solution

The third proportional to 101,280.50 and 220,784 is: 481,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,280.50 : 220,784 = 220,784 : x
  2. Step 2: Convert to fraction form
    101,280.50/220,784 = 220,784/x
  3. Step 3: Cross multiply
    101,280.50x = 220,784 × 220,784
  4. Step 4: Simplify right side
    101,280.50x = 48,745,574,656
  5. Step 5: Solve for x
    x = 48,745,574,656/101,280.50
  6. Step 6: Final answer
    x = 481,292.79

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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.