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Finding the Third Proportional to 69,390.84 and 144,234.84

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Solution

The third proportional to 69,390.84 and 144,234.84 is: 299,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,390.84 : 144,234.84 = 144,234.84 : x
  2. Step 2: Convert to fraction form
    69,390.84/144,234.84 = 144,234.84/x
  3. Step 3: Cross multiply
    69,390.84x = 144,234.84 × 144,234.84
  4. Step 4: Simplify right side
    69,390.84x = 20,803,690,151.59
  5. Step 5: Solve for x
    x = 20,803,690,151.59/69,390.84
  6. Step 6: Final answer
    x = 299,804.54

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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.