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Finding the Third Proportional to 211,309,900 and 457,795,264

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Solution

The third proportional to 211,309,900 and 457,795,264 is: 991,796,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,309,900 : 457,795,264 = 457,795,264 : x
  2. Step 2: Convert to fraction form
    211,309,900/457,795,264 = 457,795,264/x
  3. Step 3: Cross multiply
    211,309,900x = 457,795,264 × 457,795,264
  4. Step 4: Simplify right side
    211,309,900x = 209,576,503,740,829,696
  5. Step 5: Solve for x
    x = 209,576,503,740,829,696/211,309,900
  6. Step 6: Final answer
    x = 991,796,899.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.