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Finding the Third Proportional to 344.75 and 712.63

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Solution

The third proportional to 344.75 and 712.63 is: 1,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 712.63 = 712.63 : x
  2. Step 2: Convert to fraction form
    344.75/712.63 = 712.63/x
  3. Step 3: Cross multiply
    344.75x = 712.63 × 712.63
  4. Step 4: Simplify right side
    344.75x = 507,834.39
  5. Step 5: Solve for x
    x = 507,834.39/344.75
  6. Step 6: Final answer
    x = 1,473.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.