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Finding the Third Proportional to 1,815.75 and 2,663.63

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Solution

The third proportional to 1,815.75 and 2,663.63 is: 3,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 2,663.63 = 2,663.63 : x
  2. Step 2: Convert to fraction form
    1,815.75/2,663.63 = 2,663.63/x
  3. Step 3: Cross multiply
    1,815.75x = 2,663.63 × 2,663.63
  4. Step 4: Simplify right side
    1,815.75x = 7,094,898.14
  5. Step 5: Solve for x
    x = 7,094,898.14/1,815.75
  6. Step 6: Final answer
    x = 3,907.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.