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Finding the Third Proportional to 201,153 and 418,841

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Solution

The third proportional to 201,153 and 418,841 is: 872,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153 : 418,841 = 418,841 : x
  2. Step 2: Convert to fraction form
    201,153/418,841 = 418,841/x
  3. Step 3: Cross multiply
    201,153x = 418,841 × 418,841
  4. Step 4: Simplify right side
    201,153x = 175,427,783,281
  5. Step 5: Solve for x
    x = 175,427,783,281/201,153
  6. Step 6: Final answer
    x = 872,111.20

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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.