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Finding the Third Proportional to 21,106 and 33,421

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Solution

The third proportional to 21,106 and 33,421 is: 52,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106 : 33,421 = 33,421 : x
  2. Step 2: Convert to fraction form
    21,106/33,421 = 33,421/x
  3. Step 3: Cross multiply
    21,106x = 33,421 × 33,421
  4. Step 4: Simplify right side
    21,106x = 1,116,963,241
  5. Step 5: Solve for x
    x = 1,116,963,241/21,106
  6. Step 6: Final answer
    x = 52,921.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.