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Finding the Third Proportional to 208,404 and 322,902

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Solution

The third proportional to 208,404 and 322,902 is: 500,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404 : 322,902 = 322,902 : x
  2. Step 2: Convert to fraction form
    208,404/322,902 = 322,902/x
  3. Step 3: Cross multiply
    208,404x = 322,902 × 322,902
  4. Step 4: Simplify right side
    208,404x = 104,265,701,604
  5. Step 5: Solve for x
    x = 104,265,701,604/208,404
  6. Step 6: Final answer
    x = 500,305.66

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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.