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Finding the Third Proportional to 311,929 and 445,729

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Solution

The third proportional to 311,929 and 445,729 is: 636,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,929 : 445,729 = 445,729 : x
  2. Step 2: Convert to fraction form
    311,929/445,729 = 445,729/x
  3. Step 3: Cross multiply
    311,929x = 445,729 × 445,729
  4. Step 4: Simplify right side
    311,929x = 198,674,341,441
  5. Step 5: Solve for x
    x = 198,674,341,441/311,929
  6. Step 6: Final answer
    x = 636,921.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.