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Finding the Third Proportional to 128,167 and 280,460

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Solution

The third proportional to 128,167 and 280,460 is: 613,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,167 : 280,460 = 280,460 : x
  2. Step 2: Convert to fraction form
    128,167/280,460 = 280,460/x
  3. Step 3: Cross multiply
    128,167x = 280,460 × 280,460
  4. Step 4: Simplify right side
    128,167x = 78,657,811,600
  5. Step 5: Solve for x
    x = 78,657,811,600/128,167
  6. Step 6: Final answer
    x = 613,713.45

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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.