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Finding the Third Proportional to 211,981,872 and 319,034,232

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Solution

The third proportional to 211,981,872 and 319,034,232 is: 480,148,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,981,872 : 319,034,232 = 319,034,232 : x
  2. Step 2: Convert to fraction form
    211,981,872/319,034,232 = 319,034,232/x
  3. Step 3: Cross multiply
    211,981,872x = 319,034,232 × 319,034,232
  4. Step 4: Simplify right side
    211,981,872x = 101,782,841,187,829,824
  5. Step 5: Solve for x
    x = 101,782,841,187,829,824/211,981,872
  6. Step 6: Final answer
    x = 480,148,798.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.