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Finding the Third Proportional to 78,027.75 and 102,018.75

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Solution

The third proportional to 78,027.75 and 102,018.75 is: 133,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027.75 : 102,018.75 = 102,018.75 : x
  2. Step 2: Convert to fraction form
    78,027.75/102,018.75 = 102,018.75/x
  3. Step 3: Cross multiply
    78,027.75x = 102,018.75 × 102,018.75
  4. Step 4: Simplify right side
    78,027.75x = 10,407,825,351.56
  5. Step 5: Solve for x
    x = 10,407,825,351.56/78,027.75
  6. Step 6: Final answer
    x = 133,386.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.