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Finding the Third Proportional to 1,350.42 and 1,980.70

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Solution

The third proportional to 1,350.42 and 1,980.70 is: 2,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.42 : 1,980.70 = 1,980.70 : x
  2. Step 2: Convert to fraction form
    1,350.42/1,980.70 = 1,980.70/x
  3. Step 3: Cross multiply
    1,350.42x = 1,980.70 × 1,980.70
  4. Step 4: Simplify right side
    1,350.42x = 3,923,184.87
  5. Step 5: Solve for x
    x = 3,923,184.87/1,350.42
  6. Step 6: Final answer
    x = 2,905.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.