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Finding the Third Proportional to 413,242 and 638,564

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Solution

The third proportional to 413,242 and 638,564 is: 986,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,242 : 638,564 = 638,564 : x
  2. Step 2: Convert to fraction form
    413,242/638,564 = 638,564/x
  3. Step 3: Cross multiply
    413,242x = 638,564 × 638,564
  4. Step 4: Simplify right side
    413,242x = 407,763,982,096
  5. Step 5: Solve for x
    x = 407,763,982,096/413,242
  6. Step 6: Final answer
    x = 986,743.80

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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.