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Finding the Third Proportional to 275.51 and 583.06

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Solution

The third proportional to 275.51 and 583.06 is: 1,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.51 : 583.06 = 583.06 : x
  2. Step 2: Convert to fraction form
    275.51/583.06 = 583.06/x
  3. Step 3: Cross multiply
    275.51x = 583.06 × 583.06
  4. Step 4: Simplify right side
    275.51x = 339,956.18
  5. Step 5: Solve for x
    x = 339,956.18/275.51
  6. Step 6: Final answer
    x = 1,233.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.