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Finding the Third Proportional to 51,332,868 and 78,292,242

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Solution

The third proportional to 51,332,868 and 78,292,242 is: 119,410,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,332,868 : 78,292,242 = 78,292,242 : x
  2. Step 2: Convert to fraction form
    51,332,868/78,292,242 = 78,292,242/x
  3. Step 3: Cross multiply
    51,332,868x = 78,292,242 × 78,292,242
  4. Step 4: Simplify right side
    51,332,868x = 6,129,675,157,386,564
  5. Step 5: Solve for x
    x = 6,129,675,157,386,564/51,332,868
  6. Step 6: Final answer
    x = 119,410,338.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.