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Finding the Third Proportional to 21,973.50 and 39,573

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Solution

The third proportional to 21,973.50 and 39,573 is: 71,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.50 : 39,573 = 39,573 : x
  2. Step 2: Convert to fraction form
    21,973.50/39,573 = 39,573/x
  3. Step 3: Cross multiply
    21,973.50x = 39,573 × 39,573
  4. Step 4: Simplify right side
    21,973.50x = 1,566,022,329
  5. Step 5: Solve for x
    x = 1,566,022,329/21,973.50
  6. Step 6: Final answer
    x = 71,268.68

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.