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Finding the Third Proportional to 35,760 and 78,663

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Solution

The third proportional to 35,760 and 78,663 is: 173,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760 : 78,663 = 78,663 : x
  2. Step 2: Convert to fraction form
    35,760/78,663 = 78,663/x
  3. Step 3: Cross multiply
    35,760x = 78,663 × 78,663
  4. Step 4: Simplify right side
    35,760x = 6,187,867,569
  5. Step 5: Solve for x
    x = 6,187,867,569/35,760
  6. Step 6: Final answer
    x = 173,038.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.