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Finding the Third Proportional to 423.42 and 1,020.05

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Solution

The third proportional to 423.42 and 1,020.05 is: 2,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.42 : 1,020.05 = 1,020.05 : x
  2. Step 2: Convert to fraction form
    423.42/1,020.05 = 1,020.05/x
  3. Step 3: Cross multiply
    423.42x = 1,020.05 × 1,020.05
  4. Step 4: Simplify right side
    423.42x = 1,040,495.63
  5. Step 5: Solve for x
    x = 1,040,495.63/423.42
  6. Step 6: Final answer
    x = 2,457.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.