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Finding the Third Proportional to 187,004 and 405,352

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Solution

The third proportional to 187,004 and 405,352 is: 878,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,004 : 405,352 = 405,352 : x
  2. Step 2: Convert to fraction form
    187,004/405,352 = 405,352/x
  3. Step 3: Cross multiply
    187,004x = 405,352 × 405,352
  4. Step 4: Simplify right side
    187,004x = 164,310,243,904
  5. Step 5: Solve for x
    x = 164,310,243,904/187,004
  6. Step 6: Final answer
    x = 878,645.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.