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Finding the Third Proportional to 75,460 and 170,378

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Solution

The third proportional to 75,460 and 170,378 is: 384,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460 : 170,378 = 170,378 : x
  2. Step 2: Convert to fraction form
    75,460/170,378 = 170,378/x
  3. Step 3: Cross multiply
    75,460x = 170,378 × 170,378
  4. Step 4: Simplify right side
    75,460x = 29,028,662,884
  5. Step 5: Solve for x
    x = 29,028,662,884/75,460
  6. Step 6: Final answer
    x = 384,689.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.