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Finding the Third Proportional to 459.21 and 693.14

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Solution

The third proportional to 459.21 and 693.14 is: 1,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.21 : 693.14 = 693.14 : x
  2. Step 2: Convert to fraction form
    459.21/693.14 = 693.14/x
  3. Step 3: Cross multiply
    459.21x = 693.14 × 693.14
  4. Step 4: Simplify right side
    459.21x = 480,443.93
  5. Step 5: Solve for x
    x = 480,443.93/459.21
  6. Step 6: Final answer
    x = 1,046.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.