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Finding the Third Proportional to 143,786.25 and 306,013.50

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Solution

The third proportional to 143,786.25 and 306,013.50 is: 651,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,786.25 : 306,013.50 = 306,013.50 : x
  2. Step 2: Convert to fraction form
    143,786.25/306,013.50 = 306,013.50/x
  3. Step 3: Cross multiply
    143,786.25x = 306,013.50 × 306,013.50
  4. Step 4: Simplify right side
    143,786.25x = 93,644,262,182.25
  5. Step 5: Solve for x
    x = 93,644,262,182.25/143,786.25
  6. Step 6: Final answer
    x = 651,274.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.