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Finding the Third Proportional to 309,556 and 677,438

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Solution

The third proportional to 309,556 and 677,438 is: 1,482,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,556 : 677,438 = 677,438 : x
  2. Step 2: Convert to fraction form
    309,556/677,438 = 677,438/x
  3. Step 3: Cross multiply
    309,556x = 677,438 × 677,438
  4. Step 4: Simplify right side
    309,556x = 458,922,243,844
  5. Step 5: Solve for x
    x = 458,922,243,844/309,556
  6. Step 6: Final answer
    x = 1,482,517.68

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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.