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Finding the Third Proportional to 56,486,172 and 121,930,296

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Solution

The third proportional to 56,486,172 and 121,930,296 is: 263,197,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486,172 : 121,930,296 = 121,930,296 : x
  2. Step 2: Convert to fraction form
    56,486,172/121,930,296 = 121,930,296/x
  3. Step 3: Cross multiply
    56,486,172x = 121,930,296 × 121,930,296
  4. Step 4: Simplify right side
    56,486,172x = 14,866,997,082,647,616
  5. Step 5: Solve for x
    x = 14,866,997,082,647,616/56,486,172
  6. Step 6: Final answer
    x = 263,197,107.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.