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Finding the Third Proportional to 401,004,357 and 638,076,778.50

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Solution

The third proportional to 401,004,357 and 638,076,778.50 is: 1,015,305,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,357 : 638,076,778.50 = 638,076,778.50 : x
  2. Step 2: Convert to fraction form
    401,004,357/638,076,778.50 = 638,076,778.50/x
  3. Step 3: Cross multiply
    401,004,357x = 638,076,778.50 × 638,076,778.50
  4. Step 4: Simplify right side
    401,004,357x = 407,141,975,260,938,048
  5. Step 5: Solve for x
    x = 407,141,975,260,938,048/401,004,357
  6. Step 6: Final answer
    x = 1,015,305,614.90

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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.