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Finding the Third Proportional to 977.25 and 1,990.63

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Solution

The third proportional to 977.25 and 1,990.63 is: 4,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.25 : 1,990.63 = 1,990.63 : x
  2. Step 2: Convert to fraction form
    977.25/1,990.63 = 1,990.63/x
  3. Step 3: Cross multiply
    977.25x = 1,990.63 × 1,990.63
  4. Step 4: Simplify right side
    977.25x = 3,962,587.89
  5. Step 5: Solve for x
    x = 3,962,587.89/977.25
  6. Step 6: Final answer
    x = 4,054.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.