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Finding the Third Proportional to 375,171.75 and 821,495.25

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Solution

The third proportional to 375,171.75 and 821,495.25 is: 1,798,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,171.75 : 821,495.25 = 821,495.25 : x
  2. Step 2: Convert to fraction form
    375,171.75/821,495.25 = 821,495.25/x
  3. Step 3: Cross multiply
    375,171.75x = 821,495.25 × 821,495.25
  4. Step 4: Simplify right side
    375,171.75x = 674,854,445,772.56
  5. Step 5: Solve for x
    x = 674,854,445,772.56/375,171.75
  6. Step 6: Final answer
    x = 1,798,788.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.