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Finding the Third Proportional to 55,859 and 108,913

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Solution

The third proportional to 55,859 and 108,913 is: 212,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,859 : 108,913 = 108,913 : x
  2. Step 2: Convert to fraction form
    55,859/108,913 = 108,913/x
  3. Step 3: Cross multiply
    55,859x = 108,913 × 108,913
  4. Step 4: Simplify right side
    55,859x = 11,862,041,569
  5. Step 5: Solve for x
    x = 11,862,041,569/55,859
  6. Step 6: Final answer
    x = 212,356.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.