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Finding the Third Proportional to 375,205.50 and 821,564.25

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Solution

The third proportional to 375,205.50 and 821,564.25 is: 1,798,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,205.50 : 821,564.25 = 821,564.25 : x
  2. Step 2: Convert to fraction form
    375,205.50/821,564.25 = 821,564.25/x
  3. Step 3: Cross multiply
    375,205.50x = 821,564.25 × 821,564.25
  4. Step 4: Simplify right side
    375,205.50x = 674,967,816,878.06
  5. Step 5: Solve for x
    x = 674,967,816,878.06/375,205.50
  6. Step 6: Final answer
    x = 1,798,928.37

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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.