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Finding the Third Proportional to 401,004,138 and 638,076,408

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Solution

The third proportional to 401,004,138 and 638,076,408 is: 1,015,304,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,138 : 638,076,408 = 638,076,408 : x
  2. Step 2: Convert to fraction form
    401,004,138/638,076,408 = 638,076,408/x
  3. Step 3: Cross multiply
    401,004,138x = 638,076,408 × 638,076,408
  4. Step 4: Simplify right side
    401,004,138x = 407,141,502,446,182,464
  5. Step 5: Solve for x
    x = 407,141,502,446,182,464/401,004,138
  6. Step 6: Final answer
    x = 1,015,304,990.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.