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Finding the Third Proportional to 416,971.13 and 870,129

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Solution

The third proportional to 416,971.13 and 870,129 is: 1,815,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.13 : 870,129 = 870,129 : x
  2. Step 2: Convert to fraction form
    416,971.13/870,129 = 870,129/x
  3. Step 3: Cross multiply
    416,971.13x = 870,129 × 870,129
  4. Step 4: Simplify right side
    416,971.13x = 757,124,476,641
  5. Step 5: Solve for x
    x = 757,124,476,641/416,971.13
  6. Step 6: Final answer
    x = 1,815,771.96

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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.