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Finding the Third Proportional to 413,457 and 622,605

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Solution

The third proportional to 413,457 and 622,605 is: 937,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,457 : 622,605 = 622,605 : x
  2. Step 2: Convert to fraction form
    413,457/622,605 = 622,605/x
  3. Step 3: Cross multiply
    413,457x = 622,605 × 622,605
  4. Step 4: Simplify right side
    413,457x = 387,636,986,025
  5. Step 5: Solve for x
    x = 387,636,986,025/413,457
  6. Step 6: Final answer
    x = 937,550.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.