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Finding the Third Proportional to 623.64 and 1,289.99

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Solution

The third proportional to 623.64 and 1,289.99 is: 2,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 1,289.99 = 1,289.99 : x
  2. Step 2: Convert to fraction form
    623.64/1,289.99 = 1,289.99/x
  3. Step 3: Cross multiply
    623.64x = 1,289.99 × 1,289.99
  4. Step 4: Simplify right side
    623.64x = 1,664,069.77
  5. Step 5: Solve for x
    x = 1,664,069.77/623.64
  6. Step 6: Final answer
    x = 2,668.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.