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Finding the Third Proportional to 201,080 and 418,699

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Solution

The third proportional to 201,080 and 418,699 is: 871,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,080 : 418,699 = 418,699 : x
  2. Step 2: Convert to fraction form
    201,080/418,699 = 418,699/x
  3. Step 3: Cross multiply
    201,080x = 418,699 × 418,699
  4. Step 4: Simplify right side
    201,080x = 175,308,852,601
  5. Step 5: Solve for x
    x = 175,308,852,601/201,080
  6. Step 6: Final answer
    x = 871,836.35

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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.