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Finding the Third Proportional to 78,738.75 and 106,079.63

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Solution

The third proportional to 78,738.75 and 106,079.63 is: 142,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,738.75 : 106,079.63 = 106,079.63 : x
  2. Step 2: Convert to fraction form
    78,738.75/106,079.63 = 106,079.63/x
  3. Step 3: Cross multiply
    78,738.75x = 106,079.63 × 106,079.63
  4. Step 4: Simplify right side
    78,738.75x = 11,252,886,840.14
  5. Step 5: Solve for x
    x = 11,252,886,840.14/78,738.75
  6. Step 6: Final answer
    x = 142,914.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.