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Finding the Third Proportional to 1,740.87 and 2,657.81

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Solution

The third proportional to 1,740.87 and 2,657.81 is: 4,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.87 : 2,657.81 = 2,657.81 : x
  2. Step 2: Convert to fraction form
    1,740.87/2,657.81 = 2,657.81/x
  3. Step 3: Cross multiply
    1,740.87x = 2,657.81 × 2,657.81
  4. Step 4: Simplify right side
    1,740.87x = 7,063,967.29
  5. Step 5: Solve for x
    x = 7,063,967.29/1,740.87
  6. Step 6: Final answer
    x = 4,057.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.