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Finding the Third Proportional to 577.69 and 889.03

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Solution

The third proportional to 577.69 and 889.03 is: 1,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 889.03 = 889.03 : x
  2. Step 2: Convert to fraction form
    577.69/889.03 = 889.03/x
  3. Step 3: Cross multiply
    577.69x = 889.03 × 889.03
  4. Step 4: Simplify right side
    577.69x = 790,376.56
  5. Step 5: Solve for x
    x = 790,376.56/577.69
  6. Step 6: Final answer
    x = 1,368.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.