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Finding the Third Proportional to 623.38 and 1,306.38

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Solution

The third proportional to 623.38 and 1,306.38 is: 2,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.38 : 1,306.38 = 1,306.38 : x
  2. Step 2: Convert to fraction form
    623.38/1,306.38 = 1,306.38/x
  3. Step 3: Cross multiply
    623.38x = 1,306.38 × 1,306.38
  4. Step 4: Simplify right side
    623.38x = 1,706,615.64
  5. Step 5: Solve for x
    x = 1,706,615.64/623.38
  6. Step 6: Final answer
    x = 2,737.70

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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.