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Finding the Third Proportional to 49,302,940 and 105,201,324

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Solution

The third proportional to 49,302,940 and 105,201,324 is: 224,475,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,302,940 : 105,201,324 = 105,201,324 : x
  2. Step 2: Convert to fraction form
    49,302,940/105,201,324 = 105,201,324/x
  3. Step 3: Cross multiply
    49,302,940x = 105,201,324 × 105,201,324
  4. Step 4: Simplify right side
    49,302,940x = 11,067,318,571,352,976
  5. Step 5: Solve for x
    x = 11,067,318,571,352,976/49,302,940
  6. Step 6: Final answer
    x = 224,475,833.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.