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Finding the Third Proportional to 40,109 and 86,576

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Solution

The third proportional to 40,109 and 86,576 is: 186,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,109 : 86,576 = 86,576 : x
  2. Step 2: Convert to fraction form
    40,109/86,576 = 86,576/x
  3. Step 3: Cross multiply
    40,109x = 86,576 × 86,576
  4. Step 4: Simplify right side
    40,109x = 7,495,403,776
  5. Step 5: Solve for x
    x = 7,495,403,776/40,109
  6. Step 6: Final answer
    x = 186,875.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.