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Finding the Third Proportional to 423.19 and 654.94

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Solution

The third proportional to 423.19 and 654.94 is: 1,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 654.94 = 654.94 : x
  2. Step 2: Convert to fraction form
    423.19/654.94 = 654.94/x
  3. Step 3: Cross multiply
    423.19x = 654.94 × 654.94
  4. Step 4: Simplify right side
    423.19x = 428,943.13
  5. Step 5: Solve for x
    x = 428,943.13/423.19
  6. Step 6: Final answer
    x = 1,013.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.