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Finding the Third Proportional to 35,880 and 78,576

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Solution

The third proportional to 35,880 and 78,576 is: 172,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880 : 78,576 = 78,576 : x
  2. Step 2: Convert to fraction form
    35,880/78,576 = 78,576/x
  3. Step 3: Cross multiply
    35,880x = 78,576 × 78,576
  4. Step 4: Simplify right side
    35,880x = 6,174,187,776
  5. Step 5: Solve for x
    x = 6,174,187,776/35,880
  6. Step 6: Final answer
    x = 172,078.81

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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.