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Finding the Third Proportional to 35,648 and 77,872

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Solution

The third proportional to 35,648 and 77,872 is: 170,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648 : 77,872 = 77,872 : x
  2. Step 2: Convert to fraction form
    35,648/77,872 = 77,872/x
  3. Step 3: Cross multiply
    35,648x = 77,872 × 77,872
  4. Step 4: Simplify right side
    35,648x = 6,064,048,384
  5. Step 5: Solve for x
    x = 6,064,048,384/35,648
  6. Step 6: Final answer
    x = 170,109.08

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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.