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Finding the Third Proportional to 189,070 and 398,794

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Solution

The third proportional to 189,070 and 398,794 is: 841,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,070 : 398,794 = 398,794 : x
  2. Step 2: Convert to fraction form
    189,070/398,794 = 398,794/x
  3. Step 3: Cross multiply
    189,070x = 398,794 × 398,794
  4. Step 4: Simplify right side
    189,070x = 159,036,654,436
  5. Step 5: Solve for x
    x = 159,036,654,436/189,070
  6. Step 6: Final answer
    x = 841,152.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.