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Finding the Third Proportional to 420,111 and 645,741

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Solution

The third proportional to 420,111 and 645,741 is: 992,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,111 : 645,741 = 645,741 : x
  2. Step 2: Convert to fraction form
    420,111/645,741 = 645,741/x
  3. Step 3: Cross multiply
    420,111x = 645,741 × 645,741
  4. Step 4: Simplify right side
    420,111x = 416,981,439,081
  5. Step 5: Solve for x
    x = 416,981,439,081/420,111
  6. Step 6: Final answer
    x = 992,550.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.