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Finding the Third Proportional to 221,811.75 and 480,988.13

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Solution

The third proportional to 221,811.75 and 480,988.13 is: 1,042,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,811.75 : 480,988.13 = 480,988.13 : x
  2. Step 2: Convert to fraction form
    221,811.75/480,988.13 = 480,988.13/x
  3. Step 3: Cross multiply
    221,811.75x = 480,988.13 × 480,988.13
  4. Step 4: Simplify right side
    221,811.75x = 231,349,576,391.02
  5. Step 5: Solve for x
    x = 231,349,576,391.02/221,811.75
  6. Step 6: Final answer
    x = 1,042,999.64

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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.