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Finding the Third Proportional to 88,374,318,760 and 193,858,360,812

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Solution

The third proportional to 88,374,318,760 and 193,858,360,812 is: 425,248,698,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,374,318,760 : 193,858,360,812 = 193,858,360,812 : x
  2. Step 2: Convert to fraction form
    88,374,318,760/193,858,360,812 = 193,858,360,812/x
  3. Step 3: Cross multiply
    88,374,318,760x = 193,858,360,812 × 193,858,360,812
  4. Step 4: Simplify right side
    88,374,318,760x = 37,581,064,056,715,576,606,720
  5. Step 5: Solve for x
    x = 37,581,064,056,715,576,606,720/88,374,318,760
  6. Step 6: Final answer
    x = 425,248,698,762.54

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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.