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Finding the Third Proportional to 208,178 and 329,318

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Solution

The third proportional to 208,178 and 329,318 is: 520,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178 : 329,318 = 329,318 : x
  2. Step 2: Convert to fraction form
    208,178/329,318 = 329,318/x
  3. Step 3: Cross multiply
    208,178x = 329,318 × 329,318
  4. Step 4: Simplify right side
    208,178x = 108,450,345,124
  5. Step 5: Solve for x
    x = 108,450,345,124/208,178
  6. Step 6: Final answer
    x = 520,950.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.