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Finding the Third Proportional to 4,582.83 and 9,562.43

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Solution

The third proportional to 4,582.83 and 9,562.43 is: 19,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.83 : 9,562.43 = 9,562.43 : x
  2. Step 2: Convert to fraction form
    4,582.83/9,562.43 = 9,562.43/x
  3. Step 3: Cross multiply
    4,582.83x = 9,562.43 × 9,562.43
  4. Step 4: Simplify right side
    4,582.83x = 91,440,061.53
  5. Step 5: Solve for x
    x = 91,440,061.53/4,582.83
  6. Step 6: Final answer
    x = 19,952.76

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.