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Finding the Third Proportional to 690.84 and 1,050.94

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Solution

The third proportional to 690.84 and 1,050.94 is: 1,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,050.94 = 1,050.94 : x
  2. Step 2: Convert to fraction form
    690.84/1,050.94 = 1,050.94/x
  3. Step 3: Cross multiply
    690.84x = 1,050.94 × 1,050.94
  4. Step 4: Simplify right side
    690.84x = 1,104,469.63
  5. Step 5: Solve for x
    x = 1,104,469.63/690.84
  6. Step 6: Final answer
    x = 1,598.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.