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Finding the Third Proportional to 401,004,358 and 638,076,781

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Solution

The third proportional to 401,004,358 and 638,076,781 is: 1,015,305,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,358 : 638,076,781 = 638,076,781 : x
  2. Step 2: Convert to fraction form
    401,004,358/638,076,781 = 638,076,781/x
  3. Step 3: Cross multiply
    401,004,358x = 638,076,781 × 638,076,781
  4. Step 4: Simplify right side
    401,004,358x = 407,141,978,451,321,984
  5. Step 5: Solve for x
    x = 407,141,978,451,321,984/401,004,358
  6. Step 6: Final answer
    x = 1,015,305,620.32

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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.