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Finding the Third Proportional to 811,372,534.50 and 1,212,282,531.38

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Solution

The third proportional to 811,372,534.50 and 1,212,282,531.38 is: 1,811,287,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,372,534.50 : 1,212,282,531.38 = 1,212,282,531.38 : x
  2. Step 2: Convert to fraction form
    811,372,534.50/1,212,282,531.38 = 1,212,282,531.38/x
  3. Step 3: Cross multiply
    811,372,534.50x = 1,212,282,531.38 × 1,212,282,531.38
  4. Step 4: Simplify right side
    811,372,534.50x = 1,469,628,935,876,977,920
  5. Step 5: Solve for x
    x = 1,469,628,935,876,977,920/811,372,534.50
  6. Step 6: Final answer
    x = 1,811,287,507.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.