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Finding the Third Proportional to 77,494,587,915 and 121,300,195,608

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Solution

The third proportional to 77,494,587,915 and 121,300,195,608 is: 189,867,935,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494,587,915 : 121,300,195,608 = 121,300,195,608 : x
  2. Step 2: Convert to fraction form
    77,494,587,915/121,300,195,608 = 121,300,195,608/x
  3. Step 3: Cross multiply
    77,494,587,915x = 121,300,195,608 × 121,300,195,608
  4. Step 4: Simplify right side
    77,494,587,915x = 14,713,737,454,539,063,164,928
  5. Step 5: Solve for x
    x = 14,713,737,454,539,063,164,928/77,494,587,915
  6. Step 6: Final answer
    x = 189,867,935,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.