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Finding the Third Proportional to 3,973.69 and 6,290.81

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Solution

The third proportional to 3,973.69 and 6,290.81 is: 9,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.69 : 6,290.81 = 6,290.81 : x
  2. Step 2: Convert to fraction form
    3,973.69/6,290.81 = 6,290.81/x
  3. Step 3: Cross multiply
    3,973.69x = 6,290.81 × 6,290.81
  4. Step 4: Simplify right side
    3,973.69x = 39,574,321.91
  5. Step 5: Solve for x
    x = 39,574,321.91/3,973.69
  6. Step 6: Final answer
    x = 9,959.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.