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Finding the Third Proportional to 35,380 and 74,392

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Solution

The third proportional to 35,380 and 74,392 is: 156,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,380 : 74,392 = 74,392 : x
  2. Step 2: Convert to fraction form
    35,380/74,392 = 74,392/x
  3. Step 3: Cross multiply
    35,380x = 74,392 × 74,392
  4. Step 4: Simplify right side
    35,380x = 5,534,169,664
  5. Step 5: Solve for x
    x = 5,534,169,664/35,380
  6. Step 6: Final answer
    x = 156,420.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.