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Finding the Third Proportional to 13,866.19 and 22,804.03

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Solution

The third proportional to 13,866.19 and 22,804.03 is: 37,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.19 : 22,804.03 = 22,804.03 : x
  2. Step 2: Convert to fraction form
    13,866.19/22,804.03 = 22,804.03/x
  3. Step 3: Cross multiply
    13,866.19x = 22,804.03 × 22,804.03
  4. Step 4: Simplify right side
    13,866.19x = 520,023,841.25
  5. Step 5: Solve for x
    x = 520,023,841.25/13,866.19
  6. Step 6: Final answer
    x = 37,503.02

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.