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Finding the Third Proportional to 1,289.81 and 1,999.97

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Solution

The third proportional to 1,289.81 and 1,999.97 is: 3,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.81 : 1,999.97 = 1,999.97 : x
  2. Step 2: Convert to fraction form
    1,289.81/1,999.97 = 1,999.97/x
  3. Step 3: Cross multiply
    1,289.81x = 1,999.97 × 1,999.97
  4. Step 4: Simplify right side
    1,289.81x = 3,999,875.00
  5. Step 5: Solve for x
    x = 3,999,875.00/1,289.81
  6. Step 6: Final answer
    x = 3,101.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.