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Finding the Third Proportional to 72,256.50 and 111,148.88

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Solution

The third proportional to 72,256.50 and 111,148.88 is: 170,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,256.50 : 111,148.88 = 111,148.88 : x
  2. Step 2: Convert to fraction form
    72,256.50/111,148.88 = 111,148.88/x
  3. Step 3: Cross multiply
    72,256.50x = 111,148.88 × 111,148.88
  4. Step 4: Simplify right side
    72,256.50x = 12,354,072,413.77
  5. Step 5: Solve for x
    x = 12,354,072,413.77/72,256.50
  6. Step 6: Final answer
    x = 170,975.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.