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Finding the Third Proportional to 13,428.56 and 29,537.72

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Solution

The third proportional to 13,428.56 and 29,537.72 is: 64,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.56 : 29,537.72 = 29,537.72 : x
  2. Step 2: Convert to fraction form
    13,428.56/29,537.72 = 29,537.72/x
  3. Step 3: Cross multiply
    13,428.56x = 29,537.72 × 29,537.72
  4. Step 4: Simplify right side
    13,428.56x = 872,476,828.95
  5. Step 5: Solve for x
    x = 872,476,828.95/13,428.56
  6. Step 6: Final answer
    x = 64,971.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.