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Finding the Third Proportional to 3,973.50 and 8,817.75

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Solution

The third proportional to 3,973.50 and 8,817.75 is: 19,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.50 : 8,817.75 = 8,817.75 : x
  2. Step 2: Convert to fraction form
    3,973.50/8,817.75 = 8,817.75/x
  3. Step 3: Cross multiply
    3,973.50x = 8,817.75 × 8,817.75
  4. Step 4: Simplify right side
    3,973.50x = 77,752,715.06
  5. Step 5: Solve for x
    x = 77,752,715.06/3,973.50
  6. Step 6: Final answer
    x = 19,567.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.