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Finding the Third Proportional to 84,513 and 126,507

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Solution

The third proportional to 84,513 and 126,507 is: 189,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,513 : 126,507 = 126,507 : x
  2. Step 2: Convert to fraction form
    84,513/126,507 = 126,507/x
  3. Step 3: Cross multiply
    84,513x = 126,507 × 126,507
  4. Step 4: Simplify right side
    84,513x = 16,004,021,049
  5. Step 5: Solve for x
    x = 16,004,021,049/84,513
  6. Step 6: Final answer
    x = 189,367.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.