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Finding the Third Proportional to 188,431.50 and 406,407

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Solution

The third proportional to 188,431.50 and 406,407 is: 876,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,431.50 : 406,407 = 406,407 : x
  2. Step 2: Convert to fraction form
    188,431.50/406,407 = 406,407/x
  3. Step 3: Cross multiply
    188,431.50x = 406,407 × 406,407
  4. Step 4: Simplify right side
    188,431.50x = 165,166,649,649
  5. Step 5: Solve for x
    x = 165,166,649,649/188,431.50
  6. Step 6: Final answer
    x = 876,534.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.