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Finding the Third Proportional to 122,710,914 and 195,351,561

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Solution

The third proportional to 122,710,914 and 195,351,561 is: 310,992,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,710,914 : 195,351,561 = 195,351,561 : x
  2. Step 2: Convert to fraction form
    122,710,914/195,351,561 = 195,351,561/x
  3. Step 3: Cross multiply
    122,710,914x = 195,351,561 × 195,351,561
  4. Step 4: Simplify right side
    122,710,914x = 38,162,232,385,136,720
  5. Step 5: Solve for x
    x = 38,162,232,385,136,720/122,710,914
  6. Step 6: Final answer
    x = 310,992,976.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.