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Finding the Third Proportional to 1,887.05 and 4,047.47

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Solution

The third proportional to 1,887.05 and 4,047.47 is: 8,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.05 : 4,047.47 = 4,047.47 : x
  2. Step 2: Convert to fraction form
    1,887.05/4,047.47 = 4,047.47/x
  3. Step 3: Cross multiply
    1,887.05x = 4,047.47 × 4,047.47
  4. Step 4: Simplify right side
    1,887.05x = 16,382,003.28
  5. Step 5: Solve for x
    x = 16,382,003.28/1,887.05
  6. Step 6: Final answer
    x = 8,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.