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Finding the Third Proportional to 423.94 and 904.97

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Solution

The third proportional to 423.94 and 904.97 is: 1,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 904.97 = 904.97 : x
  2. Step 2: Convert to fraction form
    423.94/904.97 = 904.97/x
  3. Step 3: Cross multiply
    423.94x = 904.97 × 904.97
  4. Step 4: Simplify right side
    423.94x = 818,968.44
  5. Step 5: Solve for x
    x = 818,968.44/423.94
  6. Step 6: Final answer
    x = 1,931.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.