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Finding the Third Proportional to 413,179 and 638,453

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Solution

The third proportional to 413,179 and 638,453 is: 986,551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,179 : 638,453 = 638,453 : x
  2. Step 2: Convert to fraction form
    413,179/638,453 = 638,453/x
  3. Step 3: Cross multiply
    413,179x = 638,453 × 638,453
  4. Step 4: Simplify right side
    413,179x = 407,622,233,209
  5. Step 5: Solve for x
    x = 407,622,233,209/413,179
  6. Step 6: Final answer
    x = 986,551.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.