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Finding the Third Proportional to 315,324 and 670,824

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Solution

The third proportional to 315,324 and 670,824 is: 1,427,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,324 : 670,824 = 670,824 : x
  2. Step 2: Convert to fraction form
    315,324/670,824 = 670,824/x
  3. Step 3: Cross multiply
    315,324x = 670,824 × 670,824
  4. Step 4: Simplify right side
    315,324x = 450,004,838,976
  5. Step 5: Solve for x
    x = 450,004,838,976/315,324
  6. Step 6: Final answer
    x = 1,427,118.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.