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Finding the Third Proportional to 87,402 and 190,678

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Solution

The third proportional to 87,402 and 190,678 is: 415,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,402 : 190,678 = 190,678 : x
  2. Step 2: Convert to fraction form
    87,402/190,678 = 190,678/x
  3. Step 3: Cross multiply
    87,402x = 190,678 × 190,678
  4. Step 4: Simplify right side
    87,402x = 36,358,099,684
  5. Step 5: Solve for x
    x = 36,358,099,684/87,402
  6. Step 6: Final answer
    x = 415,987.04

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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.