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Finding the Third Proportional to 30,240 and 66,234.38

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Solution

The third proportional to 30,240 and 66,234.38 is: 145,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 66,234.38 = 66,234.38 : x
  2. Step 2: Convert to fraction form
    30,240/66,234.38 = 66,234.38/x
  3. Step 3: Cross multiply
    30,240x = 66,234.38 × 66,234.38
  4. Step 4: Simplify right side
    30,240x = 4,386,992,431.64
  5. Step 5: Solve for x
    x = 4,386,992,431.64/30,240
  6. Step 6: Final answer
    x = 145,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.