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Finding the Third Proportional to 286,002 and 420,741

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Solution

The third proportional to 286,002 and 420,741 is: 618,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,002 : 420,741 = 420,741 : x
  2. Step 2: Convert to fraction form
    286,002/420,741 = 420,741/x
  3. Step 3: Cross multiply
    286,002x = 420,741 × 420,741
  4. Step 4: Simplify right side
    286,002x = 177,022,989,081
  5. Step 5: Solve for x
    x = 177,022,989,081/286,002
  6. Step 6: Final answer
    x = 618,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.