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Finding the Third Proportional to 1,490 and 3,273.50

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Solution

The third proportional to 1,490 and 3,273.50 is: 7,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490 : 3,273.50 = 3,273.50 : x
  2. Step 2: Convert to fraction form
    1,490/3,273.50 = 3,273.50/x
  3. Step 3: Cross multiply
    1,490x = 3,273.50 × 3,273.50
  4. Step 4: Simplify right side
    1,490x = 10,715,802.25
  5. Step 5: Solve for x
    x = 10,715,802.25/1,490
  6. Step 6: Final answer
    x = 7,191.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.