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Finding the Third Proportional to 221,709 and 495,087

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Solution

The third proportional to 221,709 and 495,087 is: 1,105,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,709 : 495,087 = 495,087 : x
  2. Step 2: Convert to fraction form
    221,709/495,087 = 495,087/x
  3. Step 3: Cross multiply
    221,709x = 495,087 × 495,087
  4. Step 4: Simplify right side
    221,709x = 245,111,137,569
  5. Step 5: Solve for x
    x = 245,111,137,569/221,709
  6. Step 6: Final answer
    x = 1,105,553.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.