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Finding the Third Proportional to 10,571.77 and 22,987.86

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Solution

The third proportional to 10,571.77 and 22,987.86 is: 49,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.77 : 22,987.86 = 22,987.86 : x
  2. Step 2: Convert to fraction form
    10,571.77/22,987.86 = 22,987.86/x
  3. Step 3: Cross multiply
    10,571.77x = 22,987.86 × 22,987.86
  4. Step 4: Simplify right side
    10,571.77x = 528,441,858.24
  5. Step 5: Solve for x
    x = 528,441,858.24/10,571.77
  6. Step 6: Final answer
    x = 49,986.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.