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Finding the Third Proportional to 1,851.10 and 4,369.85

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Solution

The third proportional to 1,851.10 and 4,369.85 is: 10,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.10 : 4,369.85 = 4,369.85 : x
  2. Step 2: Convert to fraction form
    1,851.10/4,369.85 = 4,369.85/x
  3. Step 3: Cross multiply
    1,851.10x = 4,369.85 × 4,369.85
  4. Step 4: Simplify right side
    1,851.10x = 19,095,564.27
  5. Step 5: Solve for x
    x = 19,095,564.27/1,851.10
  6. Step 6: Final answer
    x = 10,315.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.