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Finding the Third Proportional to 583.03 and 783.42

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Solution

The third proportional to 583.03 and 783.42 is: 1,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.03 : 783.42 = 783.42 : x
  2. Step 2: Convert to fraction form
    583.03/783.42 = 783.42/x
  3. Step 3: Cross multiply
    583.03x = 783.42 × 783.42
  4. Step 4: Simplify right side
    583.03x = 613,749.83
  5. Step 5: Solve for x
    x = 613,749.83/583.03
  6. Step 6: Final answer
    x = 1,052.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.