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Finding the Third Proportional to 410.81 and 890.06

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Solution

The third proportional to 410.81 and 890.06 is: 1,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.81 : 890.06 = 890.06 : x
  2. Step 2: Convert to fraction form
    410.81/890.06 = 890.06/x
  3. Step 3: Cross multiply
    410.81x = 890.06 × 890.06
  4. Step 4: Simplify right side
    410.81x = 792,211.25
  5. Step 5: Solve for x
    x = 792,211.25/410.81
  6. Step 6: Final answer
    x = 1,928.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.