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Finding the Third Proportional to 7,097.63 and 13,420.69

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Solution

The third proportional to 7,097.63 and 13,420.69 is: 25,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.63 : 13,420.69 = 13,420.69 : x
  2. Step 2: Convert to fraction form
    7,097.63/13,420.69 = 13,420.69/x
  3. Step 3: Cross multiply
    7,097.63x = 13,420.69 × 13,420.69
  4. Step 4: Simplify right side
    7,097.63x = 180,114,852.97
  5. Step 5: Solve for x
    x = 180,114,852.97/7,097.63
  6. Step 6: Final answer
    x = 25,376.78

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.