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Finding the Third Proportional to 290,714,629.50 and 446,848,845.75

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Solution

The third proportional to 290,714,629.50 and 446,848,845.75 is: 686,838,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,714,629.50 : 446,848,845.75 = 446,848,845.75 : x
  2. Step 2: Convert to fraction form
    290,714,629.50/446,848,845.75 = 446,848,845.75/x
  3. Step 3: Cross multiply
    290,714,629.50x = 446,848,845.75 × 446,848,845.75
  4. Step 4: Simplify right side
    290,714,629.50x = 199,673,890,948,107,296
  5. Step 5: Solve for x
    x = 199,673,890,948,107,296/290,714,629.50
  6. Step 6: Final answer
    x = 686,838,124.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.