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Finding the Third Proportional to 318,558 and 684,342

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Solution

The third proportional to 318,558 and 684,342 is: 1,470,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,558 : 684,342 = 684,342 : x
  2. Step 2: Convert to fraction form
    318,558/684,342 = 684,342/x
  3. Step 3: Cross multiply
    318,558x = 684,342 × 684,342
  4. Step 4: Simplify right side
    318,558x = 468,323,972,964
  5. Step 5: Solve for x
    x = 468,323,972,964/318,558
  6. Step 6: Final answer
    x = 1,470,137.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.