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Finding the Third Proportional to 208,542 and 323,178

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Solution

The third proportional to 208,542 and 323,178 is: 500,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542 : 323,178 = 323,178 : x
  2. Step 2: Convert to fraction form
    208,542/323,178 = 323,178/x
  3. Step 3: Cross multiply
    208,542x = 323,178 × 323,178
  4. Step 4: Simplify right side
    208,542x = 104,444,019,684
  5. Step 5: Solve for x
    x = 104,444,019,684/208,542
  6. Step 6: Final answer
    x = 500,829.66

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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.