Home / 211,397,131.13-323,413,939.69

Finding the Third Proportional to 211,397,131.13 and 323,413,939.69

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Solution

The third proportional to 211,397,131.13 and 323,413,939.69 is: 494,787,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,397,131.13 : 323,413,939.69 = 323,413,939.69 : x
  2. Step 2: Convert to fraction form
    211,397,131.13/323,413,939.69 = 323,413,939.69/x
  3. Step 3: Cross multiply
    211,397,131.13x = 323,413,939.69 × 323,413,939.69
  4. Step 4: Simplify right side
    211,397,131.13x = 104,596,576,384,189,888
  5. Step 5: Solve for x
    x = 104,596,576,384,189,888/211,397,131.13
  6. Step 6: Final answer
    x = 494,787,113.84

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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.