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Finding the Third Proportional to 420,780 and 591,858

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Solution

The third proportional to 420,780 and 591,858 is: 832,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,780 : 591,858 = 591,858 : x
  2. Step 2: Convert to fraction form
    420,780/591,858 = 591,858/x
  3. Step 3: Cross multiply
    420,780x = 591,858 × 591,858
  4. Step 4: Simplify right side
    420,780x = 350,295,892,164
  5. Step 5: Solve for x
    x = 350,295,892,164/420,780
  6. Step 6: Final answer
    x = 832,491.78

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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.