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Finding the Third Proportional to 404,318 and 634,179

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Solution

The third proportional to 404,318 and 634,179 is: 994,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,318 : 634,179 = 634,179 : x
  2. Step 2: Convert to fraction form
    404,318/634,179 = 634,179/x
  3. Step 3: Cross multiply
    404,318x = 634,179 × 634,179
  4. Step 4: Simplify right side
    404,318x = 402,183,004,041
  5. Step 5: Solve for x
    x = 402,183,004,041/404,318
  6. Step 6: Final answer
    x = 994,719.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.