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Finding the Third Proportional to 128,073 and 269,628

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Solution

The third proportional to 128,073 and 269,628 is: 567,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,073 : 269,628 = 269,628 : x
  2. Step 2: Convert to fraction form
    128,073/269,628 = 269,628/x
  3. Step 3: Cross multiply
    128,073x = 269,628 × 269,628
  4. Step 4: Simplify right side
    128,073x = 72,699,258,384
  5. Step 5: Solve for x
    x = 72,699,258,384/128,073
  6. Step 6: Final answer
    x = 567,639.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.