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Finding the Third Proportional to 774,777 and 1,678,239

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Solution

The third proportional to 774,777 and 1,678,239 is: 3,635,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,777 : 1,678,239 = 1,678,239 : x
  2. Step 2: Convert to fraction form
    774,777/1,678,239 = 1,678,239/x
  3. Step 3: Cross multiply
    774,777x = 1,678,239 × 1,678,239
  4. Step 4: Simplify right side
    774,777x = 2,816,486,141,121
  5. Step 5: Solve for x
    x = 2,816,486,141,121/774,777
  6. Step 6: Final answer
    x = 3,635,221.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.