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Finding the Third Proportional to 137,256,436.83 and 209,100,749.48

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Solution

The third proportional to 137,256,436.83 and 209,100,749.48 is: 318,550,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,256,436.83 : 209,100,749.48 = 209,100,749.48 : x
  2. Step 2: Convert to fraction form
    137,256,436.83/209,100,749.48 = 209,100,749.48/x
  3. Step 3: Cross multiply
    137,256,436.83x = 209,100,749.48 × 209,100,749.48
  4. Step 4: Simplify right side
    137,256,436.83x = 43,723,123,434,929,448
  5. Step 5: Solve for x
    x = 43,723,123,434,929,448/137,256,436.83
  6. Step 6: Final answer
    x = 318,550,622.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.