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Finding the Third Proportional to 57,433,509 and 122,940,128.25

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Solution

The third proportional to 57,433,509 and 122,940,128.25 is: 263,161,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,433,509 : 122,940,128.25 = 122,940,128.25 : x
  2. Step 2: Convert to fraction form
    57,433,509/122,940,128.25 = 122,940,128.25/x
  3. Step 3: Cross multiply
    57,433,509x = 122,940,128.25 × 122,940,128.25
  4. Step 4: Simplify right side
    57,433,509x = 15,114,275,134,126,448
  5. Step 5: Solve for x
    x = 15,114,275,134,126,448/57,433,509
  6. Step 6: Final answer
    x = 263,161,269.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.