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Finding the Third Proportional to 313,914 and 678,124

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Solution

The third proportional to 313,914 and 678,124 is: 1,464,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,914 : 678,124 = 678,124 : x
  2. Step 2: Convert to fraction form
    313,914/678,124 = 678,124/x
  3. Step 3: Cross multiply
    313,914x = 678,124 × 678,124
  4. Step 4: Simplify right side
    313,914x = 459,852,159,376
  5. Step 5: Solve for x
    x = 459,852,159,376/313,914
  6. Step 6: Final answer
    x = 1,464,898.54

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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.