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Finding the Third Proportional to 314,178 and 678,172

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Solution

The third proportional to 314,178 and 678,172 is: 1,463,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,178 : 678,172 = 678,172 : x
  2. Step 2: Convert to fraction form
    314,178/678,172 = 678,172/x
  3. Step 3: Cross multiply
    314,178x = 678,172 × 678,172
  4. Step 4: Simplify right side
    314,178x = 459,917,261,584
  5. Step 5: Solve for x
    x = 459,917,261,584/314,178
  6. Step 6: Final answer
    x = 1,463,874.81

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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.