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Finding the Third Proportional to 369.94 and 642.84

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Solution

The third proportional to 369.94 and 642.84 is: 1,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.94 : 642.84 = 642.84 : x
  2. Step 2: Convert to fraction form
    369.94/642.84 = 642.84/x
  3. Step 3: Cross multiply
    369.94x = 642.84 × 642.84
  4. Step 4: Simplify right side
    369.94x = 413,248.09
  5. Step 5: Solve for x
    x = 413,248.09/369.94
  6. Step 6: Final answer
    x = 1,117.08

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.