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Finding the Third Proportional to 82,911 and 127,509

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Solution

The third proportional to 82,911 and 127,509 is: 196,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911 : 127,509 = 127,509 : x
  2. Step 2: Convert to fraction form
    82,911/127,509 = 127,509/x
  3. Step 3: Cross multiply
    82,911x = 127,509 × 127,509
  4. Step 4: Simplify right side
    82,911x = 16,258,545,081
  5. Step 5: Solve for x
    x = 16,258,545,081/82,911
  6. Step 6: Final answer
    x = 196,096.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.