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Finding the Third Proportional to 11,702,969 and 15,532,815

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Solution

The third proportional to 11,702,969 and 15,532,815 is: 20,615,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702,969 : 15,532,815 = 15,532,815 : x
  2. Step 2: Convert to fraction form
    11,702,969/15,532,815 = 15,532,815/x
  3. Step 3: Cross multiply
    11,702,969x = 15,532,815 × 15,532,815
  4. Step 4: Simplify right side
    11,702,969x = 241,268,341,824,225
  5. Step 5: Solve for x
    x = 241,268,341,824,225/11,702,969
  6. Step 6: Final answer
    x = 20,615,994.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.