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Finding the Third Proportional to 386,480.25 and 824,325.75

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Solution

The third proportional to 386,480.25 and 824,325.75 is: 1,758,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,480.25 : 824,325.75 = 824,325.75 : x
  2. Step 2: Convert to fraction form
    386,480.25/824,325.75 = 824,325.75/x
  3. Step 3: Cross multiply
    386,480.25x = 824,325.75 × 824,325.75
  4. Step 4: Simplify right side
    386,480.25x = 679,512,942,113.06
  5. Step 5: Solve for x
    x = 679,512,942,113.06/386,480.25
  6. Step 6: Final answer
    x = 1,758,208.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.