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Finding the Third Proportional to 1,775,489 and 3,882,307

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Solution

The third proportional to 1,775,489 and 3,882,307 is: 8,489,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,489 : 3,882,307 = 3,882,307 : x
  2. Step 2: Convert to fraction form
    1,775,489/3,882,307 = 3,882,307/x
  3. Step 3: Cross multiply
    1,775,489x = 3,882,307 × 3,882,307
  4. Step 4: Simplify right side
    1,775,489x = 15,072,307,642,249
  5. Step 5: Solve for x
    x = 15,072,307,642,249/1,775,489
  6. Step 6: Final answer
    x = 8,489,102.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.