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Finding the Third Proportional to 189,715 and 406,327

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Solution

The third proportional to 189,715 and 406,327 is: 870,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715 : 406,327 = 406,327 : x
  2. Step 2: Convert to fraction form
    189,715/406,327 = 406,327/x
  3. Step 3: Cross multiply
    189,715x = 406,327 × 406,327
  4. Step 4: Simplify right side
    189,715x = 165,101,630,929
  5. Step 5: Solve for x
    x = 165,101,630,929/189,715
  6. Step 6: Final answer
    x = 870,261.34

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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.