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Finding the Third Proportional to 420,986 and 930,586

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Solution

The third proportional to 420,986 and 930,586 is: 2,057,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,986 : 930,586 = 930,586 : x
  2. Step 2: Convert to fraction form
    420,986/930,586 = 930,586/x
  3. Step 3: Cross multiply
    420,986x = 930,586 × 930,586
  4. Step 4: Simplify right side
    420,986x = 865,990,303,396
  5. Step 5: Solve for x
    x = 865,990,303,396/420,986
  6. Step 6: Final answer
    x = 2,057,052.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.