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Finding the Third Proportional to 223,220.81 and 481,433.63

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Solution

The third proportional to 223,220.81 and 481,433.63 is: 1,038,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,220.81 : 481,433.63 = 481,433.63 : x
  2. Step 2: Convert to fraction form
    223,220.81/481,433.63 = 481,433.63/x
  3. Step 3: Cross multiply
    223,220.81x = 481,433.63 × 481,433.63
  4. Step 4: Simplify right side
    223,220.81x = 231,778,335,280.64
  5. Step 5: Solve for x
    x = 231,778,335,280.64/223,220.81
  6. Step 6: Final answer
    x = 1,038,336.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.