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Finding the Third Proportional to 5,999,105.25 and 9,660,535.88

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Solution

The third proportional to 5,999,105.25 and 9,660,535.88 is: 15,556,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999,105.25 : 9,660,535.88 = 9,660,535.88 : x
  2. Step 2: Convert to fraction form
    5,999,105.25/9,660,535.88 = 9,660,535.88/x
  3. Step 3: Cross multiply
    5,999,105.25x = 9,660,535.88 × 9,660,535.88
  4. Step 4: Simplify right side
    5,999,105.25x = 93,325,953,392,162.02
  5. Step 5: Solve for x
    x = 93,325,953,392,162.02/5,999,105.25
  6. Step 6: Final answer
    x = 15,556,645.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.