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Finding the Third Proportional to 477.81 and 986.31

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Solution

The third proportional to 477.81 and 986.31 is: 2,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.81 : 986.31 = 986.31 : x
  2. Step 2: Convert to fraction form
    477.81/986.31 = 986.31/x
  3. Step 3: Cross multiply
    477.81x = 986.31 × 986.31
  4. Step 4: Simplify right side
    477.81x = 972,812.35
  5. Step 5: Solve for x
    x = 972,812.35/477.81
  6. Step 6: Final answer
    x = 2,035.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.