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Finding the Third Proportional to 9,015.75 and 21,840.75

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Solution

The third proportional to 9,015.75 and 21,840.75 is: 52,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.75 : 21,840.75 = 21,840.75 : x
  2. Step 2: Convert to fraction form
    9,015.75/21,840.75 = 21,840.75/x
  3. Step 3: Cross multiply
    9,015.75x = 21,840.75 × 21,840.75
  4. Step 4: Simplify right side
    9,015.75x = 477,018,360.56
  5. Step 5: Solve for x
    x = 477,018,360.56/9,015.75
  6. Step 6: Final answer
    x = 52,909.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.