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Finding the Third Proportional to 420,854 and 591,965

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Solution

The third proportional to 420,854 and 591,965 is: 832,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,854 : 591,965 = 591,965 : x
  2. Step 2: Convert to fraction form
    420,854/591,965 = 591,965/x
  3. Step 3: Cross multiply
    420,854x = 591,965 × 591,965
  4. Step 4: Simplify right side
    420,854x = 350,422,561,225
  5. Step 5: Solve for x
    x = 350,422,561,225/420,854
  6. Step 6: Final answer
    x = 832,646.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.