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Finding the Third Proportional to 128,628 and 275,715

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Solution

The third proportional to 128,628 and 275,715 is: 590,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,628 : 275,715 = 275,715 : x
  2. Step 2: Convert to fraction form
    128,628/275,715 = 275,715/x
  3. Step 3: Cross multiply
    128,628x = 275,715 × 275,715
  4. Step 4: Simplify right side
    128,628x = 76,018,761,225
  5. Step 5: Solve for x
    x = 76,018,761,225/128,628
  6. Step 6: Final answer
    x = 590,996.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.