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Finding the Third Proportional to 7,445.81 and 11,518.59

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Solution

The third proportional to 7,445.81 and 11,518.59 is: 17,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.81 : 11,518.59 = 11,518.59 : x
  2. Step 2: Convert to fraction form
    7,445.81/11,518.59 = 11,518.59/x
  3. Step 3: Cross multiply
    7,445.81x = 11,518.59 × 11,518.59
  4. Step 4: Simplify right side
    7,445.81x = 132,678,001.98
  5. Step 5: Solve for x
    x = 132,678,001.98/7,445.81
  6. Step 6: Final answer
    x = 17,819.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.