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Finding the Third Proportional to 427,323 and 998,319

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Solution

The third proportional to 427,323 and 998,319 is: 2,332,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,323 : 998,319 = 998,319 : x
  2. Step 2: Convert to fraction form
    427,323/998,319 = 998,319/x
  3. Step 3: Cross multiply
    427,323x = 998,319 × 998,319
  4. Step 4: Simplify right side
    427,323x = 996,640,825,761
  5. Step 5: Solve for x
    x = 996,640,825,761/427,323
  6. Step 6: Final answer
    x = 2,332,289.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.