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Finding the Third Proportional to 155,025.56 and 219,423.94

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Solution

The third proportional to 155,025.56 and 219,423.94 is: 310,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,025.56 : 219,423.94 = 219,423.94 : x
  2. Step 2: Convert to fraction form
    155,025.56/219,423.94 = 219,423.94/x
  3. Step 3: Cross multiply
    155,025.56x = 219,423.94 × 219,423.94
  4. Step 4: Simplify right side
    155,025.56x = 48,146,864,348.00
  5. Step 5: Solve for x
    x = 48,146,864,348.00/155,025.56
  6. Step 6: Final answer
    x = 310,573.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.