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Finding the Third Proportional to 429.19 and 582.47

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Solution

The third proportional to 429.19 and 582.47 is: 790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.19 : 582.47 = 582.47 : x
  2. Step 2: Convert to fraction form
    429.19/582.47 = 582.47/x
  3. Step 3: Cross multiply
    429.19x = 582.47 × 582.47
  4. Step 4: Simplify right side
    429.19x = 339,269.84
  5. Step 5: Solve for x
    x = 339,269.84/429.19
  6. Step 6: Final answer
    x = 790.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.