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Finding the Third Proportional to 201,046 and 418,430

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Solution

The third proportional to 201,046 and 418,430 is: 870,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,046 : 418,430 = 418,430 : x
  2. Step 2: Convert to fraction form
    201,046/418,430 = 418,430/x
  3. Step 3: Cross multiply
    201,046x = 418,430 × 418,430
  4. Step 4: Simplify right side
    201,046x = 175,083,664,900
  5. Step 5: Solve for x
    x = 175,083,664,900/201,046
  6. Step 6: Final answer
    x = 870,863.71

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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.