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Finding the Third Proportional to 52,332,364,713 and 114,136,336,686

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Solution

The third proportional to 52,332,364,713 and 114,136,336,686 is: 248,930,149,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332,364,713 : 114,136,336,686 = 114,136,336,686 : x
  2. Step 2: Convert to fraction form
    52,332,364,713/114,136,336,686 = 114,136,336,686/x
  3. Step 3: Cross multiply
    52,332,364,713x = 114,136,336,686 × 114,136,336,686
  4. Step 4: Simplify right side
    52,332,364,713x = 13,027,103,352,099,950,297,088
  5. Step 5: Solve for x
    x = 13,027,103,352,099,950,297,088/52,332,364,713
  6. Step 6: Final answer
    x = 248,930,149,125.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.