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Finding the Third Proportional to 21,990 and 34,106

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Solution

The third proportional to 21,990 and 34,106 is: 52,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990 : 34,106 = 34,106 : x
  2. Step 2: Convert to fraction form
    21,990/34,106 = 34,106/x
  3. Step 3: Cross multiply
    21,990x = 34,106 × 34,106
  4. Step 4: Simplify right side
    21,990x = 1,163,219,236
  5. Step 5: Solve for x
    x = 1,163,219,236/21,990
  6. Step 6: Final answer
    x = 52,897.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.