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Finding the Third Proportional to 128,890 and 283,942

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Solution

The third proportional to 128,890 and 283,942 is: 625,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,890 : 283,942 = 283,942 : x
  2. Step 2: Convert to fraction form
    128,890/283,942 = 283,942/x
  3. Step 3: Cross multiply
    128,890x = 283,942 × 283,942
  4. Step 4: Simplify right side
    128,890x = 80,623,059,364
  5. Step 5: Solve for x
    x = 80,623,059,364/128,890
  6. Step 6: Final answer
    x = 625,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.