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Finding the Third Proportional to 190,002 and 406,356

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Solution

The third proportional to 190,002 and 406,356 is: 869,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,002 : 406,356 = 406,356 : x
  2. Step 2: Convert to fraction form
    190,002/406,356 = 406,356/x
  3. Step 3: Cross multiply
    190,002x = 406,356 × 406,356
  4. Step 4: Simplify right side
    190,002x = 165,125,198,736
  5. Step 5: Solve for x
    x = 165,125,198,736/190,002
  6. Step 6: Final answer
    x = 869,070.85

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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.