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Finding the Third Proportional to 82,483 and 127,515

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Solution

The third proportional to 82,483 and 127,515 is: 197,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483 : 127,515 = 127,515 : x
  2. Step 2: Convert to fraction form
    82,483/127,515 = 127,515/x
  3. Step 3: Cross multiply
    82,483x = 127,515 × 127,515
  4. Step 4: Simplify right side
    82,483x = 16,260,075,225
  5. Step 5: Solve for x
    x = 16,260,075,225/82,483
  6. Step 6: Final answer
    x = 197,132.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.