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Finding the Third Proportional to 728,123,421 and 1,604,661,583.50

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Solution

The third proportional to 728,123,421 and 1,604,661,583.50 is: 3,536,404,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,123,421 : 1,604,661,583.50 = 1,604,661,583.50 : x
  2. Step 2: Convert to fraction form
    728,123,421/1,604,661,583.50 = 1,604,661,583.50/x
  3. Step 3: Cross multiply
    728,123,421x = 1,604,661,583.50 × 1,604,661,583.50
  4. Step 4: Simplify right side
    728,123,421x = 2,574,938,797,560,727,552
  5. Step 5: Solve for x
    x = 2,574,938,797,560,727,552/728,123,421
  6. Step 6: Final answer
    x = 3,536,404,300.83

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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.