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Finding the Third Proportional to 78,816 and 115,152

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Solution

The third proportional to 78,816 and 115,152 is: 168,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,816 : 115,152 = 115,152 : x
  2. Step 2: Convert to fraction form
    78,816/115,152 = 115,152/x
  3. Step 3: Cross multiply
    78,816x = 115,152 × 115,152
  4. Step 4: Simplify right side
    78,816x = 13,259,983,104
  5. Step 5: Solve for x
    x = 13,259,983,104/78,816
  6. Step 6: Final answer
    x = 168,239.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.