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Finding the Third Proportional to 56,685,412,418 and 121,783,122,508

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Solution

The third proportional to 56,685,412,418 and 121,783,122,508 is: 261,639,252,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,685,412,418 : 121,783,122,508 = 121,783,122,508 : x
  2. Step 2: Convert to fraction form
    56,685,412,418/121,783,122,508 = 121,783,122,508/x
  3. Step 3: Cross multiply
    56,685,412,418x = 121,783,122,508 × 121,783,122,508
  4. Step 4: Simplify right side
    56,685,412,418x = 14,831,128,927,798,535,651,328
  5. Step 5: Solve for x
    x = 14,831,128,927,798,535,651,328/56,685,412,418
  6. Step 6: Final answer
    x = 261,639,252,413.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.