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Finding the Third Proportional to 88,374,318,880 and 193,858,361,018

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Solution

The third proportional to 88,374,318,880 and 193,858,361,018 is: 425,248,699,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,374,318,880 : 193,858,361,018 = 193,858,361,018 : x
  2. Step 2: Convert to fraction form
    88,374,318,880/193,858,361,018 = 193,858,361,018/x
  3. Step 3: Cross multiply
    88,374,318,880x = 193,858,361,018 × 193,858,361,018
  4. Step 4: Simplify right side
    88,374,318,880x = 37,581,064,136,585,220,456,448
  5. Step 5: Solve for x
    x = 37,581,064,136,585,220,456,448/88,374,318,880
  6. Step 6: Final answer
    x = 425,248,699,088.87

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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.