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Finding the Third Proportional to 109,005.75 and 159,194.50

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Solution

The third proportional to 109,005.75 and 159,194.50 is: 232,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,005.75 : 159,194.50 = 159,194.50 : x
  2. Step 2: Convert to fraction form
    109,005.75/159,194.50 = 159,194.50/x
  3. Step 3: Cross multiply
    109,005.75x = 159,194.50 × 159,194.50
  4. Step 4: Simplify right side
    109,005.75x = 25,342,888,830.25
  5. Step 5: Solve for x
    x = 25,342,888,830.25/109,005.75
  6. Step 6: Final answer
    x = 232,491.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.