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Finding the Third Proportional to 312,639 and 636,324

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Solution

The third proportional to 312,639 and 636,324 is: 1,295,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,639 : 636,324 = 636,324 : x
  2. Step 2: Convert to fraction form
    312,639/636,324 = 636,324/x
  3. Step 3: Cross multiply
    312,639x = 636,324 × 636,324
  4. Step 4: Simplify right side
    312,639x = 404,908,232,976
  5. Step 5: Solve for x
    x = 404,908,232,976/312,639
  6. Step 6: Final answer
    x = 1,295,130.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.