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Finding the Third Proportional to 7,778,863.50 and 11,416,021.50

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Solution

The third proportional to 7,778,863.50 and 11,416,021.50 is: 16,753,803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778,863.50 : 11,416,021.50 = 11,416,021.50 : x
  2. Step 2: Convert to fraction form
    7,778,863.50/11,416,021.50 = 11,416,021.50/x
  3. Step 3: Cross multiply
    7,778,863.50x = 11,416,021.50 × 11,416,021.50
  4. Step 4: Simplify right side
    7,778,863.50x = 130,325,546,888,462.25
  5. Step 5: Solve for x
    x = 130,325,546,888,462.25/7,778,863.50
  6. Step 6: Final answer
    x = 16,753,803.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.