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Finding the Third Proportional to 285.71 and 623.64

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Solution

The third proportional to 285.71 and 623.64 is: 1,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.71 : 623.64 = 623.64 : x
  2. Step 2: Convert to fraction form
    285.71/623.64 = 623.64/x
  3. Step 3: Cross multiply
    285.71x = 623.64 × 623.64
  4. Step 4: Simplify right side
    285.71x = 388,922.76
  5. Step 5: Solve for x
    x = 388,922.76/285.71
  6. Step 6: Final answer
    x = 1,361.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.