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Finding the Third Proportional to 489,858,919,811 and 681,109,672,581

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Solution

The third proportional to 489,858,919,811 and 681,109,672,581 is: 947,028,557,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,858,919,811 : 681,109,672,581 = 681,109,672,581 : x
  2. Step 2: Convert to fraction form
    489,858,919,811/681,109,672,581 = 681,109,672,581/x
  3. Step 3: Cross multiply
    489,858,919,811x = 681,109,672,581 × 681,109,672,581
  4. Step 4: Simplify right side
    489,858,919,811x = 463,910,386,083,397,055,283,200
  5. Step 5: Solve for x
    x = 463,910,386,083,397,055,283,200/489,858,919,811
  6. Step 6: Final answer
    x = 947,028,557,247.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.