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Finding the Third Proportional to 48,384 and 77,040

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Solution

The third proportional to 48,384 and 77,040 is: 122,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 77,040 = 77,040 : x
  2. Step 2: Convert to fraction form
    48,384/77,040 = 77,040/x
  3. Step 3: Cross multiply
    48,384x = 77,040 × 77,040
  4. Step 4: Simplify right side
    48,384x = 5,935,161,600
  5. Step 5: Solve for x
    x = 5,935,161,600/48,384
  6. Step 6: Final answer
    x = 122,667.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.