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Finding the Third Proportional to 208,984 and 322,890

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Solution

The third proportional to 208,984 and 322,890 is: 498,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984 : 322,890 = 322,890 : x
  2. Step 2: Convert to fraction form
    208,984/322,890 = 322,890/x
  3. Step 3: Cross multiply
    208,984x = 322,890 × 322,890
  4. Step 4: Simplify right side
    208,984x = 104,257,952,100
  5. Step 5: Solve for x
    x = 104,257,952,100/208,984
  6. Step 6: Final answer
    x = 498,880.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.