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Finding the Third Proportional to 87,509 and 190,856

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Solution

The third proportional to 87,509 and 190,856 is: 416,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,509 : 190,856 = 190,856 : x
  2. Step 2: Convert to fraction form
    87,509/190,856 = 190,856/x
  3. Step 3: Cross multiply
    87,509x = 190,856 × 190,856
  4. Step 4: Simplify right side
    87,509x = 36,426,012,736
  5. Step 5: Solve for x
    x = 36,426,012,736/87,509
  6. Step 6: Final answer
    x = 416,254.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.