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Finding the Third Proportional to 990.63 and 1,663.74

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Solution

The third proportional to 990.63 and 1,663.74 is: 2,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.63 : 1,663.74 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    990.63/1,663.74 = 1,663.74/x
  3. Step 3: Cross multiply
    990.63x = 1,663.74 × 1,663.74
  4. Step 4: Simplify right side
    990.63x = 2,768,041.32
  5. Step 5: Solve for x
    x = 2,768,041.32/990.63
  6. Step 6: Final answer
    x = 2,794.23

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.