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Finding the Third Proportional to 427,899 and 576,324

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Solution

The third proportional to 427,899 and 576,324 is: 776,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,899 : 576,324 = 576,324 : x
  2. Step 2: Convert to fraction form
    427,899/576,324 = 576,324/x
  3. Step 3: Cross multiply
    427,899x = 576,324 × 576,324
  4. Step 4: Simplify right side
    427,899x = 332,149,352,976
  5. Step 5: Solve for x
    x = 332,149,352,976/427,899
  6. Step 6: Final answer
    x = 776,233.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.