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Finding the Third Proportional to 129,133.50 and 279,714

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Solution

The third proportional to 129,133.50 and 279,714 is: 605,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,133.50 : 279,714 = 279,714 : x
  2. Step 2: Convert to fraction form
    129,133.50/279,714 = 279,714/x
  3. Step 3: Cross multiply
    129,133.50x = 279,714 × 279,714
  4. Step 4: Simplify right side
    129,133.50x = 78,239,921,796
  5. Step 5: Solve for x
    x = 78,239,921,796/129,133.50
  6. Step 6: Final answer
    x = 605,884.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.