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Finding the Third Proportional to 75,554 and 113,367

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Solution

The third proportional to 75,554 and 113,367 is: 170,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,554 : 113,367 = 113,367 : x
  2. Step 2: Convert to fraction form
    75,554/113,367 = 113,367/x
  3. Step 3: Cross multiply
    75,554x = 113,367 × 113,367
  4. Step 4: Simplify right side
    75,554x = 12,852,076,689
  5. Step 5: Solve for x
    x = 12,852,076,689/75,554
  6. Step 6: Final answer
    x = 170,104.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.