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Finding the Third Proportional to 740.72 and 1,600.22

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Solution

The third proportional to 740.72 and 1,600.22 is: 3,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.72 : 1,600.22 = 1,600.22 : x
  2. Step 2: Convert to fraction form
    740.72/1,600.22 = 1,600.22/x
  3. Step 3: Cross multiply
    740.72x = 1,600.22 × 1,600.22
  4. Step 4: Simplify right side
    740.72x = 2,560,700.05
  5. Step 5: Solve for x
    x = 2,560,700.05/740.72
  6. Step 6: Final answer
    x = 3,457.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.