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Finding the Third Proportional to 35,511 and 77,378

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Solution

The third proportional to 35,511 and 77,378 is: 168,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511 : 77,378 = 77,378 : x
  2. Step 2: Convert to fraction form
    35,511/77,378 = 77,378/x
  3. Step 3: Cross multiply
    35,511x = 77,378 × 77,378
  4. Step 4: Simplify right side
    35,511x = 5,987,354,884
  5. Step 5: Solve for x
    x = 5,987,354,884/35,511
  6. Step 6: Final answer
    x = 168,605.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.