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Finding the Third Proportional to 19,991.09 and 42,750.09

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Solution

The third proportional to 19,991.09 and 42,750.09 is: 91,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.09 : 42,750.09 = 42,750.09 : x
  2. Step 2: Convert to fraction form
    19,991.09/42,750.09 = 42,750.09/x
  3. Step 3: Cross multiply
    19,991.09x = 42,750.09 × 42,750.09
  4. Step 4: Simplify right side
    19,991.09x = 1,827,570,515.63
  5. Step 5: Solve for x
    x = 1,827,570,515.63/19,991.09
  6. Step 6: Final answer
    x = 91,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.