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Finding the Third Proportional to 489,858,919,813 and 681,109,672,584

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Solution

The third proportional to 489,858,919,813 and 681,109,672,584 is: 947,028,557,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,858,919,813 : 681,109,672,584 = 681,109,672,584 : x
  2. Step 2: Convert to fraction form
    489,858,919,813/681,109,672,584 = 681,109,672,584/x
  3. Step 3: Cross multiply
    489,858,919,813x = 681,109,672,584 × 681,109,672,584
  4. Step 4: Simplify right side
    489,858,919,813x = 463,910,386,087,483,649,556,480
  5. Step 5: Solve for x
    x = 463,910,386,087,483,649,556,480/489,858,919,813
  6. Step 6: Final answer
    x = 947,028,557,251.91

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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.