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Finding the Third Proportional to 274.64 and 390.45

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Solution

The third proportional to 274.64 and 390.45 is: 555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 390.45 = 390.45 : x
  2. Step 2: Convert to fraction form
    274.64/390.45 = 390.45/x
  3. Step 3: Cross multiply
    274.64x = 390.45 × 390.45
  4. Step 4: Simplify right side
    274.64x = 152,447.54
  5. Step 5: Solve for x
    x = 152,447.54/274.64
  6. Step 6: Final answer
    x = 555.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.