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Finding the Third Proportional to 129,313.13 and 276,373.69

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Solution

The third proportional to 129,313.13 and 276,373.69 is: 590,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,313.13 : 276,373.69 = 276,373.69 : x
  2. Step 2: Convert to fraction form
    129,313.13/276,373.69 = 276,373.69/x
  3. Step 3: Cross multiply
    129,313.13x = 276,373.69 × 276,373.69
  4. Step 4: Simplify right side
    129,313.13x = 76,382,415,142.35
  5. Step 5: Solve for x
    x = 76,382,415,142.35/129,313.13
  6. Step 6: Final answer
    x = 590,677.98

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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.