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Finding the Third Proportional to 87,421 and 190,410

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Solution

The third proportional to 87,421 and 190,410 is: 414,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,421 : 190,410 = 190,410 : x
  2. Step 2: Convert to fraction form
    87,421/190,410 = 190,410/x
  3. Step 3: Cross multiply
    87,421x = 190,410 × 190,410
  4. Step 4: Simplify right side
    87,421x = 36,255,968,100
  5. Step 5: Solve for x
    x = 36,255,968,100/87,421
  6. Step 6: Final answer
    x = 414,728.36

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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.