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Finding the Third Proportional to 568.78 and 889.03

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Solution

The third proportional to 568.78 and 889.03 is: 1,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 889.03 = 889.03 : x
  2. Step 2: Convert to fraction form
    568.78/889.03 = 889.03/x
  3. Step 3: Cross multiply
    568.78x = 889.03 × 889.03
  4. Step 4: Simplify right side
    568.78x = 790,376.56
  5. Step 5: Solve for x
    x = 790,376.56/568.78
  6. Step 6: Final answer
    x = 1,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.