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Finding the Third Proportional to 453.52 and 697.99

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Solution

The third proportional to 453.52 and 697.99 is: 1,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 697.99 = 697.99 : x
  2. Step 2: Convert to fraction form
    453.52/697.99 = 697.99/x
  3. Step 3: Cross multiply
    453.52x = 697.99 × 697.99
  4. Step 4: Simplify right side
    453.52x = 487,193.09
  5. Step 5: Solve for x
    x = 487,193.09/453.52
  6. Step 6: Final answer
    x = 1,074.26

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Why These Related Problems?

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