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Finding the Third Proportional to 291,784,428 and 451,311,601.50

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Solution

The third proportional to 291,784,428 and 451,311,601.50 is: 698,056,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,784,428 : 451,311,601.50 = 451,311,601.50 : x
  2. Step 2: Convert to fraction form
    291,784,428/451,311,601.50 = 451,311,601.50/x
  3. Step 3: Cross multiply
    291,784,428x = 451,311,601.50 × 451,311,601.50
  4. Step 4: Simplify right side
    291,784,428x = 203,682,161,648,494,816
  5. Step 5: Solve for x
    x = 203,682,161,648,494,816/291,784,428
  6. Step 6: Final answer
    x = 698,056,997.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.