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Finding the Third Proportional to 420,842 and 591,947

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Solution

The third proportional to 420,842 and 591,947 is: 832,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,842 : 591,947 = 591,947 : x
  2. Step 2: Convert to fraction form
    420,842/591,947 = 591,947/x
  3. Step 3: Cross multiply
    420,842x = 591,947 × 591,947
  4. Step 4: Simplify right side
    420,842x = 350,401,250,809
  5. Step 5: Solve for x
    x = 350,401,250,809/420,842
  6. Step 6: Final answer
    x = 832,619.49

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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.