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Finding the Third Proportional to 459.42 and 621.42

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Solution

The third proportional to 459.42 and 621.42 is: 840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 621.42 = 621.42 : x
  2. Step 2: Convert to fraction form
    459.42/621.42 = 621.42/x
  3. Step 3: Cross multiply
    459.42x = 621.42 × 621.42
  4. Step 4: Simplify right side
    459.42x = 386,165.15
  5. Step 5: Solve for x
    x = 386,165.15/459.42
  6. Step 6: Final answer
    x = 840.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.