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Finding the Third Proportional to 68,686.50 and 144,753

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Solution

The third proportional to 68,686.50 and 144,753 is: 305,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,686.50 : 144,753 = 144,753 : x
  2. Step 2: Convert to fraction form
    68,686.50/144,753 = 144,753/x
  3. Step 3: Cross multiply
    68,686.50x = 144,753 × 144,753
  4. Step 4: Simplify right side
    68,686.50x = 20,953,431,009
  5. Step 5: Solve for x
    x = 20,953,431,009/68,686.50
  6. Step 6: Final answer
    x = 305,058.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.