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Finding the Third Proportional to 105,078.75 and 144,495.75

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Solution

The third proportional to 105,078.75 and 144,495.75 is: 198,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,078.75 : 144,495.75 = 144,495.75 : x
  2. Step 2: Convert to fraction form
    105,078.75/144,495.75 = 144,495.75/x
  3. Step 3: Cross multiply
    105,078.75x = 144,495.75 × 144,495.75
  4. Step 4: Simplify right side
    105,078.75x = 20,879,021,768.06
  5. Step 5: Solve for x
    x = 20,879,021,768.06/105,078.75
  6. Step 6: Final answer
    x = 198,698.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.