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Finding the Third Proportional to 175,760 and 272,378

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Solution

The third proportional to 175,760 and 272,378 is: 422,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,760 : 272,378 = 272,378 : x
  2. Step 2: Convert to fraction form
    175,760/272,378 = 272,378/x
  3. Step 3: Cross multiply
    175,760x = 272,378 × 272,378
  4. Step 4: Simplify right side
    175,760x = 74,189,774,884
  5. Step 5: Solve for x
    x = 74,189,774,884/175,760
  6. Step 6: Final answer
    x = 422,108.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.