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Finding the Third Proportional to 15,590 and 33,373

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Solution

The third proportional to 15,590 and 33,373 is: 71,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590 : 33,373 = 33,373 : x
  2. Step 2: Convert to fraction form
    15,590/33,373 = 33,373/x
  3. Step 3: Cross multiply
    15,590x = 33,373 × 33,373
  4. Step 4: Simplify right side
    15,590x = 1,113,757,129
  5. Step 5: Solve for x
    x = 1,113,757,129/15,590
  6. Step 6: Final answer
    x = 71,440.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.