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Finding the Third Proportional to 15,999.75 and 21,407.63

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Solution

The third proportional to 15,999.75 and 21,407.63 is: 28,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.75 : 21,407.63 = 21,407.63 : x
  2. Step 2: Convert to fraction form
    15,999.75/21,407.63 = 21,407.63/x
  3. Step 3: Cross multiply
    15,999.75x = 21,407.63 × 21,407.63
  4. Step 4: Simplify right side
    15,999.75x = 458,286,408.14
  5. Step 5: Solve for x
    x = 458,286,408.14/15,999.75
  6. Step 6: Final answer
    x = 28,643.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.