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Finding the Third Proportional to 128,169 and 280,464

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Solution

The third proportional to 128,169 and 280,464 is: 613,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,169 : 280,464 = 280,464 : x
  2. Step 2: Convert to fraction form
    128,169/280,464 = 280,464/x
  3. Step 3: Cross multiply
    128,169x = 280,464 × 280,464
  4. Step 4: Simplify right side
    128,169x = 78,660,055,296
  5. Step 5: Solve for x
    x = 78,660,055,296/128,169
  6. Step 6: Final answer
    x = 613,721.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.