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Finding the Third Proportional to 77,904 and 171,360

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Solution

The third proportional to 77,904 and 171,360 is: 376,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,904 : 171,360 = 171,360 : x
  2. Step 2: Convert to fraction form
    77,904/171,360 = 171,360/x
  3. Step 3: Cross multiply
    77,904x = 171,360 × 171,360
  4. Step 4: Simplify right side
    77,904x = 29,364,249,600
  5. Step 5: Solve for x
    x = 29,364,249,600/77,904
  6. Step 6: Final answer
    x = 376,928.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.