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Finding the Third Proportional to 690.94 and 1,505.72

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Solution

The third proportional to 690.94 and 1,505.72 is: 3,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.94 : 1,505.72 = 1,505.72 : x
  2. Step 2: Convert to fraction form
    690.94/1,505.72 = 1,505.72/x
  3. Step 3: Cross multiply
    690.94x = 1,505.72 × 1,505.72
  4. Step 4: Simplify right side
    690.94x = 2,267,188.95
  5. Step 5: Solve for x
    x = 2,267,188.95/690.94
  6. Step 6: Final answer
    x = 3,281.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.