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Finding the Third Proportional to 459.42 and 698.20

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Solution

The third proportional to 459.42 and 698.20 is: 1,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 698.20 = 698.20 : x
  2. Step 2: Convert to fraction form
    459.42/698.20 = 698.20/x
  3. Step 3: Cross multiply
    459.42x = 698.20 × 698.20
  4. Step 4: Simplify right side
    459.42x = 487,487.60
  5. Step 5: Solve for x
    x = 487,487.60/459.42
  6. Step 6: Final answer
    x = 1,061.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.