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Finding the Third Proportional to 201,143 and 418,971

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Solution

The third proportional to 201,143 and 418,971 is: 872,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,143 : 418,971 = 418,971 : x
  2. Step 2: Convert to fraction form
    201,143/418,971 = 418,971/x
  3. Step 3: Cross multiply
    201,143x = 418,971 × 418,971
  4. Step 4: Simplify right side
    201,143x = 175,536,698,841
  5. Step 5: Solve for x
    x = 175,536,698,841/201,143
  6. Step 6: Final answer
    x = 872,696.04

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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.