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Finding the Third Proportional to 323,688 and 706,368

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Solution

The third proportional to 323,688 and 706,368 is: 1,541,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,688 : 706,368 = 706,368 : x
  2. Step 2: Convert to fraction form
    323,688/706,368 = 706,368/x
  3. Step 3: Cross multiply
    323,688x = 706,368 × 706,368
  4. Step 4: Simplify right side
    323,688x = 498,955,751,424
  5. Step 5: Solve for x
    x = 498,955,751,424/323,688
  6. Step 6: Final answer
    x = 1,541,471.27

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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.