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Finding the Third Proportional to 46,505,736 and 108,624,043.50

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Solution

The third proportional to 46,505,736 and 108,624,043.50 is: 253,714,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,505,736 : 108,624,043.50 = 108,624,043.50 : x
  2. Step 2: Convert to fraction form
    46,505,736/108,624,043.50 = 108,624,043.50/x
  3. Step 3: Cross multiply
    46,505,736x = 108,624,043.50 × 108,624,043.50
  4. Step 4: Simplify right side
    46,505,736x = 11,799,182,826,289,892
  5. Step 5: Solve for x
    x = 11,799,182,826,289,892/46,505,736
  6. Step 6: Final answer
    x = 253,714,570.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.