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Finding the Third Proportional to 189,258 and 406,416

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Solution

The third proportional to 189,258 and 406,416 is: 872,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,258 : 406,416 = 406,416 : x
  2. Step 2: Convert to fraction form
    189,258/406,416 = 406,416/x
  3. Step 3: Cross multiply
    189,258x = 406,416 × 406,416
  4. Step 4: Simplify right side
    189,258x = 165,173,965,056
  5. Step 5: Solve for x
    x = 165,173,965,056/189,258
  6. Step 6: Final answer
    x = 872,744.96

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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.