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Finding the Third Proportional to 39,468 and 86,576

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Solution

The third proportional to 39,468 and 86,576 is: 189,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468 : 86,576 = 86,576 : x
  2. Step 2: Convert to fraction form
    39,468/86,576 = 86,576/x
  3. Step 3: Cross multiply
    39,468x = 86,576 × 86,576
  4. Step 4: Simplify right side
    39,468x = 7,495,403,776
  5. Step 5: Solve for x
    x = 7,495,403,776/39,468
  6. Step 6: Final answer
    x = 189,910.91

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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.