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Finding the Third Proportional to 7,778,682 and 11,775,339

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Solution

The third proportional to 7,778,682 and 11,775,339 is: 17,825,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778,682 : 11,775,339 = 11,775,339 : x
  2. Step 2: Convert to fraction form
    7,778,682/11,775,339 = 11,775,339/x
  3. Step 3: Cross multiply
    7,778,682x = 11,775,339 × 11,775,339
  4. Step 4: Simplify right side
    7,778,682x = 138,658,608,564,921
  5. Step 5: Solve for x
    x = 138,658,608,564,921/7,778,682
  6. Step 6: Final answer
    x = 17,825,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.