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Finding the Third Proportional to 102,973 and 221,747

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Solution

The third proportional to 102,973 and 221,747 is: 477,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,973 : 221,747 = 221,747 : x
  2. Step 2: Convert to fraction form
    102,973/221,747 = 221,747/x
  3. Step 3: Cross multiply
    102,973x = 221,747 × 221,747
  4. Step 4: Simplify right side
    102,973x = 49,171,732,009
  5. Step 5: Solve for x
    x = 49,171,732,009/102,973
  6. Step 6: Final answer
    x = 477,520.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.