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Finding the Third Proportional to 1,139.77 and 1,629.84

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Solution

The third proportional to 1,139.77 and 1,629.84 is: 2,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.77 : 1,629.84 = 1,629.84 : x
  2. Step 2: Convert to fraction form
    1,139.77/1,629.84 = 1,629.84/x
  3. Step 3: Cross multiply
    1,139.77x = 1,629.84 × 1,629.84
  4. Step 4: Simplify right side
    1,139.77x = 2,656,390.65
  5. Step 5: Solve for x
    x = 2,656,390.65/1,139.77
  6. Step 6: Final answer
    x = 2,330.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.