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Finding the Third Proportional to 314,185 and 678,179

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Solution

The third proportional to 314,185 and 678,179 is: 1,463,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,185 : 678,179 = 678,179 : x
  2. Step 2: Convert to fraction form
    314,185/678,179 = 678,179/x
  3. Step 3: Cross multiply
    314,185x = 678,179 × 678,179
  4. Step 4: Simplify right side
    314,185x = 459,926,756,041
  5. Step 5: Solve for x
    x = 459,926,756,041/314,185
  6. Step 6: Final answer
    x = 1,463,872.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.