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Finding the Third Proportional to 451,284 and 991,128

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Solution

The third proportional to 451,284 and 991,128 is: 2,176,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,284 : 991,128 = 991,128 : x
  2. Step 2: Convert to fraction form
    451,284/991,128 = 991,128/x
  3. Step 3: Cross multiply
    451,284x = 991,128 × 991,128
  4. Step 4: Simplify right side
    451,284x = 982,334,712,384
  5. Step 5: Solve for x
    x = 982,334,712,384/451,284
  6. Step 6: Final answer
    x = 2,176,755.02

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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.