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Finding the Third Proportional to 101,820 and 212,913

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Solution

The third proportional to 101,820 and 212,913 is: 445,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,820 : 212,913 = 212,913 : x
  2. Step 2: Convert to fraction form
    101,820/212,913 = 212,913/x
  3. Step 3: Cross multiply
    101,820x = 212,913 × 212,913
  4. Step 4: Simplify right side
    101,820x = 45,331,945,569
  5. Step 5: Solve for x
    x = 45,331,945,569/101,820
  6. Step 6: Final answer
    x = 445,216.52

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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.