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Finding the Third Proportional to 190,406 and 415,804

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Solution

The third proportional to 190,406 and 415,804 is: 908,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,406 : 415,804 = 415,804 : x
  2. Step 2: Convert to fraction form
    190,406/415,804 = 415,804/x
  3. Step 3: Cross multiply
    190,406x = 415,804 × 415,804
  4. Step 4: Simplify right side
    190,406x = 172,892,966,416
  5. Step 5: Solve for x
    x = 172,892,966,416/190,406
  6. Step 6: Final answer
    x = 908,022.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.