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Finding the Third Proportional to 128,333 and 280,417

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Solution

The third proportional to 128,333 and 280,417 is: 612,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,333 : 280,417 = 280,417 : x
  2. Step 2: Convert to fraction form
    128,333/280,417 = 280,417/x
  3. Step 3: Cross multiply
    128,333x = 280,417 × 280,417
  4. Step 4: Simplify right side
    128,333x = 78,633,693,889
  5. Step 5: Solve for x
    x = 78,633,693,889/128,333
  6. Step 6: Final answer
    x = 612,731.67

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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.