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Finding the Third Proportional to 28,261.75 and 43,740.75

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Solution

The third proportional to 28,261.75 and 43,740.75 is: 67,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,261.75 : 43,740.75 = 43,740.75 : x
  2. Step 2: Convert to fraction form
    28,261.75/43,740.75 = 43,740.75/x
  3. Step 3: Cross multiply
    28,261.75x = 43,740.75 × 43,740.75
  4. Step 4: Simplify right side
    28,261.75x = 1,913,253,210.56
  5. Step 5: Solve for x
    x = 1,913,253,210.56/28,261.75
  6. Step 6: Final answer
    x = 67,697.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.