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Finding the Third Proportional to 78,944.63 and 122,699.81

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Solution

The third proportional to 78,944.63 and 122,699.81 is: 190,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,944.63 : 122,699.81 = 122,699.81 : x
  2. Step 2: Convert to fraction form
    78,944.63/122,699.81 = 122,699.81/x
  3. Step 3: Cross multiply
    78,944.63x = 122,699.81 × 122,699.81
  4. Step 4: Simplify right side
    78,944.63x = 15,055,243,987.54
  5. Step 5: Solve for x
    x = 15,055,243,987.54/78,944.63
  6. Step 6: Final answer
    x = 190,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.