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Finding the Third Proportional to 1,399.78 and 1,522.97

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Solution

The third proportional to 1,399.78 and 1,522.97 is: 1,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.78 : 1,522.97 = 1,522.97 : x
  2. Step 2: Convert to fraction form
    1,399.78/1,522.97 = 1,522.97/x
  3. Step 3: Cross multiply
    1,399.78x = 1,522.97 × 1,522.97
  4. Step 4: Simplify right side
    1,399.78x = 2,319,433.81
  5. Step 5: Solve for x
    x = 2,319,433.81/1,399.78
  6. Step 6: Final answer
    x = 1,657.00

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.