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Finding the Third Proportional to 413,166 and 637,974

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Solution

The third proportional to 413,166 and 637,974 is: 985,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,166 : 637,974 = 637,974 : x
  2. Step 2: Convert to fraction form
    413,166/637,974 = 637,974/x
  3. Step 3: Cross multiply
    413,166x = 637,974 × 637,974
  4. Step 4: Simplify right side
    413,166x = 407,010,824,676
  5. Step 5: Solve for x
    x = 407,010,824,676/413,166
  6. Step 6: Final answer
    x = 985,102.42

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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.