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Finding the Third Proportional to 416,974.50 and 870,135

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Solution

The third proportional to 416,974.50 and 870,135 is: 1,815,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,974.50 : 870,135 = 870,135 : x
  2. Step 2: Convert to fraction form
    416,974.50/870,135 = 870,135/x
  3. Step 3: Cross multiply
    416,974.50x = 870,135 × 870,135
  4. Step 4: Simplify right side
    416,974.50x = 757,134,918,225
  5. Step 5: Solve for x
    x = 757,134,918,225/416,974.50
  6. Step 6: Final answer
    x = 1,815,782.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.