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Finding the Third Proportional to 1,830 and 4,429.50

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Solution

The third proportional to 1,830 and 4,429.50 is: 10,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 4,429.50 = 4,429.50 : x
  2. Step 2: Convert to fraction form
    1,830/4,429.50 = 4,429.50/x
  3. Step 3: Cross multiply
    1,830x = 4,429.50 × 4,429.50
  4. Step 4: Simplify right side
    1,830x = 19,620,470.25
  5. Step 5: Solve for x
    x = 19,620,470.25/1,830
  6. Step 6: Final answer
    x = 10,721.57

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.