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Finding the Third Proportional to 103,707 and 221,631

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Solution

The third proportional to 103,707 and 221,631 is: 473,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,707 : 221,631 = 221,631 : x
  2. Step 2: Convert to fraction form
    103,707/221,631 = 221,631/x
  3. Step 3: Cross multiply
    103,707x = 221,631 × 221,631
  4. Step 4: Simplify right side
    103,707x = 49,120,300,161
  5. Step 5: Solve for x
    x = 49,120,300,161/103,707
  6. Step 6: Final answer
    x = 473,644.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.