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Finding the Third Proportional to 401,004,132 and 638,076,392

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Solution

The third proportional to 401,004,132 and 638,076,392 is: 1,015,304,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,132 : 638,076,392 = 638,076,392 : x
  2. Step 2: Convert to fraction form
    401,004,132/638,076,392 = 638,076,392/x
  3. Step 3: Cross multiply
    401,004,132x = 638,076,392 × 638,076,392
  4. Step 4: Simplify right side
    401,004,132x = 407,141,482,027,737,664
  5. Step 5: Solve for x
    x = 407,141,482,027,737,664/401,004,132
  6. Step 6: Final answer
    x = 1,015,304,954.58

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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.