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Finding the Third Proportional to 72,816 and 157,152

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Solution

The third proportional to 72,816 and 157,152 is: 339,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,816 : 157,152 = 157,152 : x
  2. Step 2: Convert to fraction form
    72,816/157,152 = 157,152/x
  3. Step 3: Cross multiply
    72,816x = 157,152 × 157,152
  4. Step 4: Simplify right side
    72,816x = 24,696,751,104
  5. Step 5: Solve for x
    x = 24,696,751,104/72,816
  6. Step 6: Final answer
    x = 339,166.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.