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Finding the Third Proportional to 7,900.03 and 9,987.05

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Solution

The third proportional to 7,900.03 and 9,987.05 is: 12,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.03 : 9,987.05 = 9,987.05 : x
  2. Step 2: Convert to fraction form
    7,900.03/9,987.05 = 9,987.05/x
  3. Step 3: Cross multiply
    7,900.03x = 9,987.05 × 9,987.05
  4. Step 4: Simplify right side
    7,900.03x = 99,741,105.28
  5. Step 5: Solve for x
    x = 99,741,105.28/7,900.03
  6. Step 6: Final answer
    x = 12,625.41

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.