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Finding the Third Proportional to 78,414.75 and 105,360.75

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Solution

The third proportional to 78,414.75 and 105,360.75 is: 141,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.75 : 105,360.75 = 105,360.75 : x
  2. Step 2: Convert to fraction form
    78,414.75/105,360.75 = 105,360.75/x
  3. Step 3: Cross multiply
    78,414.75x = 105,360.75 × 105,360.75
  4. Step 4: Simplify right side
    78,414.75x = 11,100,887,640.56
  5. Step 5: Solve for x
    x = 11,100,887,640.56/78,414.75
  6. Step 6: Final answer
    x = 141,566.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.