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Finding the Third Proportional to 690.94 and 898.03

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Solution

The third proportional to 690.94 and 898.03 is: 1,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.94 : 898.03 = 898.03 : x
  2. Step 2: Convert to fraction form
    690.94/898.03 = 898.03/x
  3. Step 3: Cross multiply
    690.94x = 898.03 × 898.03
  4. Step 4: Simplify right side
    690.94x = 806,460.13
  5. Step 5: Solve for x
    x = 806,460.13/690.94
  6. Step 6: Final answer
    x = 1,167.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.