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Finding the Third Proportional to 201,140 and 418,819

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Solution

The third proportional to 201,140 and 418,819 is: 872,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,140 : 418,819 = 418,819 : x
  2. Step 2: Convert to fraction form
    201,140/418,819 = 418,819/x
  3. Step 3: Cross multiply
    201,140x = 418,819 × 418,819
  4. Step 4: Simplify right side
    201,140x = 175,409,354,761
  5. Step 5: Solve for x
    x = 175,409,354,761/201,140
  6. Step 6: Final answer
    x = 872,075.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.