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Finding the Third Proportional to 311,731 and 483,634

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Solution

The third proportional to 311,731 and 483,634 is: 750,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,731 : 483,634 = 483,634 : x
  2. Step 2: Convert to fraction form
    311,731/483,634 = 483,634/x
  3. Step 3: Cross multiply
    311,731x = 483,634 × 483,634
  4. Step 4: Simplify right side
    311,731x = 233,901,845,956
  5. Step 5: Solve for x
    x = 233,901,845,956/311,731
  6. Step 6: Final answer
    x = 750,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.