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Finding the Third Proportional to 623.16 and 1,310.91

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Solution

The third proportional to 623.16 and 1,310.91 is: 2,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 1,310.91 = 1,310.91 : x
  2. Step 2: Convert to fraction form
    623.16/1,310.91 = 1,310.91/x
  3. Step 3: Cross multiply
    623.16x = 1,310.91 × 1,310.91
  4. Step 4: Simplify right side
    623.16x = 1,718,475.20
  5. Step 5: Solve for x
    x = 1,718,475.20/623.16
  6. Step 6: Final answer
    x = 2,757.70

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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.