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Finding the Third Proportional to 314,612 and 684,512

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Solution

The third proportional to 314,612 and 684,512 is: 1,489,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,612 : 684,512 = 684,512 : x
  2. Step 2: Convert to fraction form
    314,612/684,512 = 684,512/x
  3. Step 3: Cross multiply
    314,612x = 684,512 × 684,512
  4. Step 4: Simplify right side
    314,612x = 468,556,678,144
  5. Step 5: Solve for x
    x = 468,556,678,144/314,612
  6. Step 6: Final answer
    x = 1,489,315.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.