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Finding the Third Proportional to 15,820 and 34,392

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Solution

The third proportional to 15,820 and 34,392 is: 74,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820 : 34,392 = 34,392 : x
  2. Step 2: Convert to fraction form
    15,820/34,392 = 34,392/x
  3. Step 3: Cross multiply
    15,820x = 34,392 × 34,392
  4. Step 4: Simplify right side
    15,820x = 1,182,809,664
  5. Step 5: Solve for x
    x = 1,182,809,664/15,820
  6. Step 6: Final answer
    x = 74,766.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.