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Finding the Third Proportional to 201,152 and 277,089

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Solution

The third proportional to 201,152 and 277,089 is: 381,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152 : 277,089 = 277,089 : x
  2. Step 2: Convert to fraction form
    201,152/277,089 = 277,089/x
  3. Step 3: Cross multiply
    201,152x = 277,089 × 277,089
  4. Step 4: Simplify right side
    201,152x = 76,778,313,921
  5. Step 5: Solve for x
    x = 76,778,313,921/201,152
  6. Step 6: Final answer
    x = 381,693.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.