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Finding the Third Proportional to 87,321 and 128,106

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Solution

The third proportional to 87,321 and 128,106 is: 187,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,321 : 128,106 = 128,106 : x
  2. Step 2: Convert to fraction form
    87,321/128,106 = 128,106/x
  3. Step 3: Cross multiply
    87,321x = 128,106 × 128,106
  4. Step 4: Simplify right side
    87,321x = 16,411,147,236
  5. Step 5: Solve for x
    x = 16,411,147,236/87,321
  6. Step 6: Final answer
    x = 187,940.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.