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Finding the Third Proportional to 87,835 and 190,421

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Solution

The third proportional to 87,835 and 190,421 is: 412,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,835 : 190,421 = 190,421 : x
  2. Step 2: Convert to fraction form
    87,835/190,421 = 190,421/x
  3. Step 3: Cross multiply
    87,835x = 190,421 × 190,421
  4. Step 4: Simplify right side
    87,835x = 36,260,157,241
  5. Step 5: Solve for x
    x = 36,260,157,241/87,835
  6. Step 6: Final answer
    x = 412,821.28

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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.