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Finding the Third Proportional to 77,904 and 115,656

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Solution

The third proportional to 77,904 and 115,656 is: 171,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,904 : 115,656 = 115,656 : x
  2. Step 2: Convert to fraction form
    77,904/115,656 = 115,656/x
  3. Step 3: Cross multiply
    77,904x = 115,656 × 115,656
  4. Step 4: Simplify right side
    77,904x = 13,376,310,336
  5. Step 5: Solve for x
    x = 13,376,310,336/77,904
  6. Step 6: Final answer
    x = 171,702.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.