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Finding the Third Proportional to 401,004,129.75 and 638,076,388.50

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Solution

The third proportional to 401,004,129.75 and 638,076,388.50 is: 1,015,304,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,129.75 : 638,076,388.50 = 638,076,388.50 : x
  2. Step 2: Convert to fraction form
    401,004,129.75/638,076,388.50 = 638,076,388.50/x
  3. Step 3: Cross multiply
    401,004,129.75x = 638,076,388.50 × 638,076,388.50
  4. Step 4: Simplify right side
    401,004,129.75x = 407,141,477,561,202,944
  5. Step 5: Solve for x
    x = 407,141,477,561,202,944/401,004,129.75
  6. Step 6: Final answer
    x = 1,015,304,949.14

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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.