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Finding the Third Proportional to 133,768 and 315,760

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Solution

The third proportional to 133,768 and 315,760 is: 745,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768 : 315,760 = 315,760 : x
  2. Step 2: Convert to fraction form
    133,768/315,760 = 315,760/x
  3. Step 3: Cross multiply
    133,768x = 315,760 × 315,760
  4. Step 4: Simplify right side
    133,768x = 99,704,377,600
  5. Step 5: Solve for x
    x = 99,704,377,600/133,768
  6. Step 6: Final answer
    x = 745,352.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.