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Finding the Third Proportional to 21,209 and 33,578

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Solution

The third proportional to 21,209 and 33,578 is: 53,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209 : 33,578 = 33,578 : x
  2. Step 2: Convert to fraction form
    21,209/33,578 = 33,578/x
  3. Step 3: Cross multiply
    21,209x = 33,578 × 33,578
  4. Step 4: Simplify right side
    21,209x = 1,127,482,084
  5. Step 5: Solve for x
    x = 1,127,482,084/21,209
  6. Step 6: Final answer
    x = 53,160.55

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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.