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Finding the Third Proportional to 189,172 and 406,220

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Solution

The third proportional to 189,172 and 406,220 is: 872,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,172 : 406,220 = 406,220 : x
  2. Step 2: Convert to fraction form
    189,172/406,220 = 406,220/x
  3. Step 3: Cross multiply
    189,172x = 406,220 × 406,220
  4. Step 4: Simplify right side
    189,172x = 165,014,688,400
  5. Step 5: Solve for x
    x = 165,014,688,400/189,172
  6. Step 6: Final answer
    x = 872,299.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.