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Finding the Third Proportional to 15,888.38 and 21,083.63

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Solution

The third proportional to 15,888.38 and 21,083.63 is: 27,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.38 : 21,083.63 = 21,083.63 : x
  2. Step 2: Convert to fraction form
    15,888.38/21,083.63 = 21,083.63/x
  3. Step 3: Cross multiply
    15,888.38x = 21,083.63 × 21,083.63
  4. Step 4: Simplify right side
    15,888.38x = 444,519,243.14
  5. Step 5: Solve for x
    x = 444,519,243.14/15,888.38
  6. Step 6: Final answer
    x = 27,977.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.