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Finding the Third Proportional to 273,970,613,432 and 419,144,362,108

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Solution

The third proportional to 273,970,613,432 and 419,144,362,108 is: 641,243,942,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970,613,432 : 419,144,362,108 = 419,144,362,108 : x
  2. Step 2: Convert to fraction form
    273,970,613,432/419,144,362,108 = 419,144,362,108/x
  3. Step 3: Cross multiply
    273,970,613,432x = 419,144,362,108 × 419,144,362,108
  4. Step 4: Simplify right side
    273,970,613,432x = 175,681,996,286,922,225,352,704
  5. Step 5: Solve for x
    x = 175,681,996,286,922,225,352,704/273,970,613,432
  6. Step 6: Final answer
    x = 641,243,942,502.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.