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Finding the Third Proportional to 87,235 and 190,342

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Solution

The third proportional to 87,235 and 190,342 is: 415,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,235 : 190,342 = 190,342 : x
  2. Step 2: Convert to fraction form
    87,235/190,342 = 190,342/x
  3. Step 3: Cross multiply
    87,235x = 190,342 × 190,342
  4. Step 4: Simplify right side
    87,235x = 36,230,076,964
  5. Step 5: Solve for x
    x = 36,230,076,964/87,235
  6. Step 6: Final answer
    x = 415,315.84

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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.