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Finding the Third Proportional to 1,050.33 and 1,386.42

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Solution

The third proportional to 1,050.33 and 1,386.42 is: 1,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.33 : 1,386.42 = 1,386.42 : x
  2. Step 2: Convert to fraction form
    1,050.33/1,386.42 = 1,386.42/x
  3. Step 3: Cross multiply
    1,050.33x = 1,386.42 × 1,386.42
  4. Step 4: Simplify right side
    1,050.33x = 1,922,165.62
  5. Step 5: Solve for x
    x = 1,922,165.62/1,050.33
  6. Step 6: Final answer
    x = 1,830.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.