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Finding the Third Proportional to 211,015.13 and 488,080.69

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Solution

The third proportional to 211,015.13 and 488,080.69 is: 1,128,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,015.13 : 488,080.69 = 488,080.69 : x
  2. Step 2: Convert to fraction form
    211,015.13/488,080.69 = 488,080.69/x
  3. Step 3: Cross multiply
    211,015.13x = 488,080.69 × 488,080.69
  4. Step 4: Simplify right side
    211,015.13x = 238,222,757,510.47
  5. Step 5: Solve for x
    x = 238,222,757,510.47/211,015.13
  6. Step 6: Final answer
    x = 1,128,936.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.