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Finding the Third Proportional to 728,123,418 and 1,604,661,576.75

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Solution

The third proportional to 728,123,418 and 1,604,661,576.75 is: 3,536,404,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,123,418 : 1,604,661,576.75 = 1,604,661,576.75 : x
  2. Step 2: Convert to fraction form
    728,123,418/1,604,661,576.75 = 1,604,661,576.75/x
  3. Step 3: Cross multiply
    728,123,418x = 1,604,661,576.75 × 1,604,661,576.75
  4. Step 4: Simplify right side
    728,123,418x = 2,574,938,775,897,796,096
  5. Step 5: Solve for x
    x = 2,574,938,775,897,796,096/728,123,418
  6. Step 6: Final answer
    x = 3,536,404,285.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.