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Finding the Third Proportional to 129,903.19 and 279,145.13

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Solution

The third proportional to 129,903.19 and 279,145.13 is: 599,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,903.19 : 279,145.13 = 279,145.13 : x
  2. Step 2: Convert to fraction form
    129,903.19/279,145.13 = 279,145.13/x
  3. Step 3: Cross multiply
    129,903.19x = 279,145.13 × 279,145.13
  4. Step 4: Simplify right side
    129,903.19x = 77,922,000,811.27
  5. Step 5: Solve for x
    x = 77,922,000,811.27/129,903.19
  6. Step 6: Final answer
    x = 599,846.72

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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.