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Finding the Third Proportional to 189,498 and 405,254

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Solution

The third proportional to 189,498 and 405,254 is: 866,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,498 : 405,254 = 405,254 : x
  2. Step 2: Convert to fraction form
    189,498/405,254 = 405,254/x
  3. Step 3: Cross multiply
    189,498x = 405,254 × 405,254
  4. Step 4: Simplify right side
    189,498x = 164,230,804,516
  5. Step 5: Solve for x
    x = 164,230,804,516/189,498
  6. Step 6: Final answer
    x = 866,662.47

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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.