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Finding the Third Proportional to 121,605,097,100 and 261,511,343,152

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Solution

The third proportional to 121,605,097,100 and 261,511,343,152 is: 562,379,244,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,605,097,100 : 261,511,343,152 = 261,511,343,152 : x
  2. Step 2: Convert to fraction form
    121,605,097,100/261,511,343,152 = 261,511,343,152/x
  3. Step 3: Cross multiply
    121,605,097,100x = 261,511,343,152 × 261,511,343,152
  4. Step 4: Simplify right side
    121,605,097,100x = 68,388,182,597,163,097,784,320
  5. Step 5: Solve for x
    x = 68,388,182,597,163,097,784,320/121,605,097,100
  6. Step 6: Final answer
    x = 562,379,244,193.40

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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.