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Finding the Third Proportional to 78,554,950,102 and 172,318,543,100

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Solution

The third proportional to 78,554,950,102 and 172,318,543,100 is: 377,998,843,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554,950,102 : 172,318,543,100 = 172,318,543,100 : x
  2. Step 2: Convert to fraction form
    78,554,950,102/172,318,543,100 = 172,318,543,100/x
  3. Step 3: Cross multiply
    78,554,950,102x = 172,318,543,100 × 172,318,543,100
  4. Step 4: Simplify right side
    78,554,950,102x = 29,693,680,296,106,557,177,856
  5. Step 5: Solve for x
    x = 29,693,680,296,106,557,177,856/78,554,950,102
  6. Step 6: Final answer
    x = 377,998,843,580.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.