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Finding the Third Proportional to 154,280,785.50 and 329,485,234.50

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Solution

The third proportional to 154,280,785.50 and 329,485,234.50 is: 703,655,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,280,785.50 : 329,485,234.50 = 329,485,234.50 : x
  2. Step 2: Convert to fraction form
    154,280,785.50/329,485,234.50 = 329,485,234.50/x
  3. Step 3: Cross multiply
    154,280,785.50x = 329,485,234.50 × 329,485,234.50
  4. Step 4: Simplify right side
    154,280,785.50x = 108,560,519,753,519,984
  5. Step 5: Solve for x
    x = 108,560,519,753,519,984/154,280,785.50
  6. Step 6: Final answer
    x = 703,655,477.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.