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Finding the Third Proportional to 275,758,020 and 419,366,646

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Solution

The third proportional to 275,758,020 and 419,366,646 is: 637,763,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,758,020 : 419,366,646 = 419,366,646 : x
  2. Step 2: Convert to fraction form
    275,758,020/419,366,646 = 419,366,646/x
  3. Step 3: Cross multiply
    275,758,020x = 419,366,646 × 419,366,646
  4. Step 4: Simplify right side
    275,758,020x = 175,868,383,777,289,312
  5. Step 5: Solve for x
    x = 175,868,383,777,289,312/275,758,020
  6. Step 6: Final answer
    x = 637,763,441.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.