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Finding the Third Proportional to 48,480 and 101,856

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Solution

The third proportional to 48,480 and 101,856 is: 213,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480 : 101,856 = 101,856 : x
  2. Step 2: Convert to fraction form
    48,480/101,856 = 101,856/x
  3. Step 3: Cross multiply
    48,480x = 101,856 × 101,856
  4. Step 4: Simplify right side
    48,480x = 10,374,644,736
  5. Step 5: Solve for x
    x = 10,374,644,736/48,480
  6. Step 6: Final answer
    x = 213,998.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.