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Finding the Third Proportional to 189,662 and 406,312

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Solution

The third proportional to 189,662 and 406,312 is: 870,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,662 : 406,312 = 406,312 : x
  2. Step 2: Convert to fraction form
    189,662/406,312 = 406,312/x
  3. Step 3: Cross multiply
    189,662x = 406,312 × 406,312
  4. Step 4: Simplify right side
    189,662x = 165,089,441,344
  5. Step 5: Solve for x
    x = 165,089,441,344/189,662
  6. Step 6: Final answer
    x = 870,440.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.