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Finding the Third Proportional to 623.81 and 1,312.31

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Solution

The third proportional to 623.81 and 1,312.31 is: 2,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.81 : 1,312.31 = 1,312.31 : x
  2. Step 2: Convert to fraction form
    623.81/1,312.31 = 1,312.31/x
  3. Step 3: Cross multiply
    623.81x = 1,312.31 × 1,312.31
  4. Step 4: Simplify right side
    623.81x = 1,722,164.10
  5. Step 5: Solve for x
    x = 1,722,164.10/623.81
  6. Step 6: Final answer
    x = 2,760.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.