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Finding the Third Proportional to 183,089 and 261,318

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Solution

The third proportional to 183,089 and 261,318 is: 372,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,089 : 261,318 = 261,318 : x
  2. Step 2: Convert to fraction form
    183,089/261,318 = 261,318/x
  3. Step 3: Cross multiply
    183,089x = 261,318 × 261,318
  4. Step 4: Simplify right side
    183,089x = 68,287,097,124
  5. Step 5: Solve for x
    x = 68,287,097,124/183,089
  6. Step 6: Final answer
    x = 372,972.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.