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Finding the Third Proportional to 623.53 and 1,319.16

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Solution

The third proportional to 623.53 and 1,319.16 is: 2,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.53 : 1,319.16 = 1,319.16 : x
  2. Step 2: Convert to fraction form
    623.53/1,319.16 = 1,319.16/x
  3. Step 3: Cross multiply
    623.53x = 1,319.16 × 1,319.16
  4. Step 4: Simplify right side
    623.53x = 1,740,173.21
  5. Step 5: Solve for x
    x = 1,740,173.21/623.53
  6. Step 6: Final answer
    x = 2,790.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.