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Finding the Third Proportional to 12,753 and 27,463.50

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Solution

The third proportional to 12,753 and 27,463.50 is: 59,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 27,463.50 = 27,463.50 : x
  2. Step 2: Convert to fraction form
    12,753/27,463.50 = 27,463.50/x
  3. Step 3: Cross multiply
    12,753x = 27,463.50 × 27,463.50
  4. Step 4: Simplify right side
    12,753x = 754,243,832.25
  5. Step 5: Solve for x
    x = 754,243,832.25/12,753
  6. Step 6: Final answer
    x = 59,142.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.