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Finding the Third Proportional to 129,896 and 279,202

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Solution

The third proportional to 129,896 and 279,202 is: 600,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896 : 279,202 = 279,202 : x
  2. Step 2: Convert to fraction form
    129,896/279,202 = 279,202/x
  3. Step 3: Cross multiply
    129,896x = 279,202 × 279,202
  4. Step 4: Simplify right side
    129,896x = 77,953,756,804
  5. Step 5: Solve for x
    x = 77,953,756,804/129,896
  6. Step 6: Final answer
    x = 600,124.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.