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Finding the Third Proportional to 401,004,355.50 and 638,076,777.75

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Solution

The third proportional to 401,004,355.50 and 638,076,777.75 is: 1,015,305,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,355.50 : 638,076,777.75 = 638,076,777.75 : x
  2. Step 2: Convert to fraction form
    401,004,355.50/638,076,777.75 = 638,076,777.75/x
  3. Step 3: Cross multiply
    401,004,355.50x = 638,076,777.75 × 638,076,777.75
  4. Step 4: Simplify right side
    401,004,355.50x = 407,141,974,303,822,912
  5. Step 5: Solve for x
    x = 407,141,974,303,822,912/401,004,355.50
  6. Step 6: Final answer
    x = 1,015,305,616.31

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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.