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Finding the Third Proportional to 999.81 and 1,568.28

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Solution

The third proportional to 999.81 and 1,568.28 is: 2,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.81 : 1,568.28 = 1,568.28 : x
  2. Step 2: Convert to fraction form
    999.81/1,568.28 = 1,568.28/x
  3. Step 3: Cross multiply
    999.81x = 1,568.28 × 1,568.28
  4. Step 4: Simplify right side
    999.81x = 2,459,506.08
  5. Step 5: Solve for x
    x = 2,459,506.08/999.81
  6. Step 6: Final answer
    x = 2,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.