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Finding the Third Proportional to 312,384 and 684,000

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Solution

The third proportional to 312,384 and 684,000 is: 1,497,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,384 : 684,000 = 684,000 : x
  2. Step 2: Convert to fraction form
    312,384/684,000 = 684,000/x
  3. Step 3: Cross multiply
    312,384x = 684,000 × 684,000
  4. Step 4: Simplify right side
    312,384x = 467,856,000,000
  5. Step 5: Solve for x
    x = 467,856,000,000/312,384
  6. Step 6: Final answer
    x = 1,497,695.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.