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Finding the Third Proportional to 407,176 and 634,030

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Solution

The third proportional to 407,176 and 634,030 is: 987,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,176 : 634,030 = 634,030 : x
  2. Step 2: Convert to fraction form
    407,176/634,030 = 634,030/x
  3. Step 3: Cross multiply
    407,176x = 634,030 × 634,030
  4. Step 4: Simplify right side
    407,176x = 401,994,040,900
  5. Step 5: Solve for x
    x = 401,994,040,900/407,176
  6. Step 6: Final answer
    x = 987,273.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.