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Finding the Third Proportional to 476.50 and 1,106.38

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Solution

The third proportional to 476.50 and 1,106.38 is: 2,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.50 : 1,106.38 = 1,106.38 : x
  2. Step 2: Convert to fraction form
    476.50/1,106.38 = 1,106.38/x
  3. Step 3: Cross multiply
    476.50x = 1,106.38 × 1,106.38
  4. Step 4: Simplify right side
    476.50x = 1,224,065.64
  5. Step 5: Solve for x
    x = 1,224,065.64/476.50
  6. Step 6: Final answer
    x = 2,568.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.