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Finding the Third Proportional to 201,009 and 307,911

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Solution

The third proportional to 201,009 and 307,911 is: 471,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009 : 307,911 = 307,911 : x
  2. Step 2: Convert to fraction form
    201,009/307,911 = 307,911/x
  3. Step 3: Cross multiply
    201,009x = 307,911 × 307,911
  4. Step 4: Simplify right side
    201,009x = 94,809,183,921
  5. Step 5: Solve for x
    x = 94,809,183,921/201,009
  6. Step 6: Final answer
    x = 471,666.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.