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Finding the Third Proportional to 101,746 and 212,780

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Solution

The third proportional to 101,746 and 212,780 is: 444,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746 : 212,780 = 212,780 : x
  2. Step 2: Convert to fraction form
    101,746/212,780 = 212,780/x
  3. Step 3: Cross multiply
    101,746x = 212,780 × 212,780
  4. Step 4: Simplify right side
    101,746x = 45,275,328,400
  5. Step 5: Solve for x
    x = 45,275,328,400/101,746
  6. Step 6: Final answer
    x = 444,983.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.