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Finding the Third Proportional to 2,332 and 3,601.50

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Solution

The third proportional to 2,332 and 3,601.50 is: 5,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 3,601.50 = 3,601.50 : x
  2. Step 2: Convert to fraction form
    2,332/3,601.50 = 3,601.50/x
  3. Step 3: Cross multiply
    2,332x = 3,601.50 × 3,601.50
  4. Step 4: Simplify right side
    2,332x = 12,970,802.25
  5. Step 5: Solve for x
    x = 12,970,802.25/2,332
  6. Step 6: Final answer
    x = 5,562.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.