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Finding the Third Proportional to 48,768 and 107,040

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Solution

The third proportional to 48,768 and 107,040 is: 234,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768 : 107,040 = 107,040 : x
  2. Step 2: Convert to fraction form
    48,768/107,040 = 107,040/x
  3. Step 3: Cross multiply
    48,768x = 107,040 × 107,040
  4. Step 4: Simplify right side
    48,768x = 11,457,561,600
  5. Step 5: Solve for x
    x = 11,457,561,600/48,768
  6. Step 6: Final answer
    x = 234,940.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.