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Finding the Third Proportional to 302,869 and 655,896

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Solution

The third proportional to 302,869 and 655,896 is: 1,420,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,869 : 655,896 = 655,896 : x
  2. Step 2: Convert to fraction form
    302,869/655,896 = 655,896/x
  3. Step 3: Cross multiply
    302,869x = 655,896 × 655,896
  4. Step 4: Simplify right side
    302,869x = 430,199,562,816
  5. Step 5: Solve for x
    x = 430,199,562,816/302,869
  6. Step 6: Final answer
    x = 1,420,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.