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Finding the Third Proportional to 406,130 and 936,029

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Solution

The third proportional to 406,130 and 936,029 is: 2,157,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,130 : 936,029 = 936,029 : x
  2. Step 2: Convert to fraction form
    406,130/936,029 = 936,029/x
  3. Step 3: Cross multiply
    406,130x = 936,029 × 936,029
  4. Step 4: Simplify right side
    406,130x = 876,150,288,841
  5. Step 5: Solve for x
    x = 876,150,288,841/406,130
  6. Step 6: Final answer
    x = 2,157,314.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.