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Finding the Third Proportional to 221,694.47 and 487,675.69

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Solution

The third proportional to 221,694.47 and 487,675.69 is: 1,072,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,694.47 : 487,675.69 = 487,675.69 : x
  2. Step 2: Convert to fraction form
    221,694.47/487,675.69 = 487,675.69/x
  3. Step 3: Cross multiply
    221,694.47x = 487,675.69 × 487,675.69
  4. Step 4: Simplify right side
    221,694.47x = 237,827,576,178.60
  5. Step 5: Solve for x
    x = 237,827,576,178.60/221,694.47
  6. Step 6: Final answer
    x = 1,072,771.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.