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Finding the Third Proportional to 274.64 and 583.45

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Solution

The third proportional to 274.64 and 583.45 is: 1,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 583.45 = 583.45 : x
  2. Step 2: Convert to fraction form
    274.64/583.45 = 583.45/x
  3. Step 3: Cross multiply
    274.64x = 583.45 × 583.45
  4. Step 4: Simplify right side
    274.64x = 340,417.55
  5. Step 5: Solve for x
    x = 340,417.55/274.64
  6. Step 6: Final answer
    x = 1,239.50

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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.