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Finding the Third Proportional to 221,573 and 487,431

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Solution

The third proportional to 221,573 and 487,431 is: 1,072,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,573 : 487,431 = 487,431 : x
  2. Step 2: Convert to fraction form
    221,573/487,431 = 487,431/x
  3. Step 3: Cross multiply
    221,573x = 487,431 × 487,431
  4. Step 4: Simplify right side
    221,573x = 237,588,979,761
  5. Step 5: Solve for x
    x = 237,588,979,761/221,573
  6. Step 6: Final answer
    x = 1,072,283.08

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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.