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Finding the Third Proportional to 129,063.38 and 276,809.81

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Solution

The third proportional to 129,063.38 and 276,809.81 is: 593,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,063.38 : 276,809.81 = 276,809.81 : x
  2. Step 2: Convert to fraction form
    129,063.38/276,809.81 = 276,809.81/x
  3. Step 3: Cross multiply
    129,063.38x = 276,809.81 × 276,809.81
  4. Step 4: Simplify right side
    129,063.38x = 76,623,672,296.29
  5. Step 5: Solve for x
    x = 76,623,672,296.29/129,063.38
  6. Step 6: Final answer
    x = 593,690.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.