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Finding the Third Proportional to 128,628 and 275,714

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Solution

The third proportional to 128,628 and 275,714 is: 590,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,628 : 275,714 = 275,714 : x
  2. Step 2: Convert to fraction form
    128,628/275,714 = 275,714/x
  3. Step 3: Cross multiply
    128,628x = 275,714 × 275,714
  4. Step 4: Simplify right side
    128,628x = 76,018,209,796
  5. Step 5: Solve for x
    x = 76,018,209,796/128,628
  6. Step 6: Final answer
    x = 590,992.71

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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.