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Finding the Third Proportional to 623.02 and 1,310.58

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Solution

The third proportional to 623.02 and 1,310.58 is: 2,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.02 : 1,310.58 = 1,310.58 : x
  2. Step 2: Convert to fraction form
    623.02/1,310.58 = 1,310.58/x
  3. Step 3: Cross multiply
    623.02x = 1,310.58 × 1,310.58
  4. Step 4: Simplify right side
    623.02x = 1,717,615.02
  5. Step 5: Solve for x
    x = 1,717,615.02/623.02
  6. Step 6: Final answer
    x = 2,756.94

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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.