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Finding the Third Proportional to 156,201,224 and 325,331,108

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Solution

The third proportional to 156,201,224 and 325,331,108 is: 677,589,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,201,224 : 325,331,108 = 325,331,108 : x
  2. Step 2: Convert to fraction form
    156,201,224/325,331,108 = 325,331,108/x
  3. Step 3: Cross multiply
    156,201,224x = 325,331,108 × 325,331,108
  4. Step 4: Simplify right side
    156,201,224x = 105,840,329,832,507,664
  5. Step 5: Solve for x
    x = 105,840,329,832,507,664/156,201,224
  6. Step 6: Final answer
    x = 677,589,631.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.