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Finding the Third Proportional to 211,015.13 and 436,807.69

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Solution

The third proportional to 211,015.13 and 436,807.69 is: 904,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,015.13 : 436,807.69 = 436,807.69 : x
  2. Step 2: Convert to fraction form
    211,015.13/436,807.69 = 436,807.69/x
  3. Step 3: Cross multiply
    211,015.13x = 436,807.69 × 436,807.69
  4. Step 4: Simplify right side
    211,015.13x = 190,800,955,859.10
  5. Step 5: Solve for x
    x = 190,800,955,859.10/211,015.13
  6. Step 6: Final answer
    x = 904,205.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.