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Finding the Third Proportional to 375,987.75 and 811,910.06

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Solution

The third proportional to 375,987.75 and 811,910.06 is: 1,753,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,987.75 : 811,910.06 = 811,910.06 : x
  2. Step 2: Convert to fraction form
    375,987.75/811,910.06 = 811,910.06/x
  3. Step 3: Cross multiply
    375,987.75x = 811,910.06 × 811,910.06
  4. Step 4: Simplify right side
    375,987.75x = 659,197,949,588.75
  5. Step 5: Solve for x
    x = 659,197,949,588.75/375,987.75
  6. Step 6: Final answer
    x = 1,753,243.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.