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Finding the Third Proportional to 849.63 and 1,299.80

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Solution

The third proportional to 849.63 and 1,299.80 is: 1,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.63 : 1,299.80 = 1,299.80 : x
  2. Step 2: Convert to fraction form
    849.63/1,299.80 = 1,299.80/x
  3. Step 3: Cross multiply
    849.63x = 1,299.80 × 1,299.80
  4. Step 4: Simplify right side
    849.63x = 1,689,471.92
  5. Step 5: Solve for x
    x = 1,689,471.92/849.63
  6. Step 6: Final answer
    x = 1,988.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.