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Finding the Third Proportional to 35,647 and 77,000

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Solution

The third proportional to 35,647 and 77,000 is: 166,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647 : 77,000 = 77,000 : x
  2. Step 2: Convert to fraction form
    35,647/77,000 = 77,000/x
  3. Step 3: Cross multiply
    35,647x = 77,000 × 77,000
  4. Step 4: Simplify right side
    35,647x = 5,929,000,000
  5. Step 5: Solve for x
    x = 5,929,000,000/35,647
  6. Step 6: Final answer
    x = 166,325.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.