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Finding the Third Proportional to 811,372,560 and 1,212,282,572

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Solution

The third proportional to 811,372,560 and 1,212,282,572 is: 1,811,287,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,372,560 : 1,212,282,572 = 1,212,282,572 : x
  2. Step 2: Convert to fraction form
    811,372,560/1,212,282,572 = 1,212,282,572/x
  3. Step 3: Cross multiply
    811,372,560x = 1,212,282,572 × 1,212,282,572
  4. Step 4: Simplify right side
    811,372,560x = 1,469,629,034,374,935,296
  5. Step 5: Solve for x
    x = 1,469,629,034,374,935,296/811,372,560
  6. Step 6: Final answer
    x = 1,811,287,572.23

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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.