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Finding the Third Proportional to 820,266.75 and 1,230,383.25

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Solution

The third proportional to 820,266.75 and 1,230,383.25 is: 1,845,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,266.75 : 1,230,383.25 = 1,230,383.25 : x
  2. Step 2: Convert to fraction form
    820,266.75/1,230,383.25 = 1,230,383.25/x
  3. Step 3: Cross multiply
    820,266.75x = 1,230,383.25 × 1,230,383.25
  4. Step 4: Simplify right side
    820,266.75x = 1,513,842,941,880.56
  5. Step 5: Solve for x
    x = 1,513,842,941,880.56/820,266.75
  6. Step 6: Final answer
    x = 1,845,549.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.