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Finding the Third Proportional to 133,810 and 315,865

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Solution

The third proportional to 133,810 and 315,865 is: 745,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810 : 315,865 = 315,865 : x
  2. Step 2: Convert to fraction form
    133,810/315,865 = 315,865/x
  3. Step 3: Cross multiply
    133,810x = 315,865 × 315,865
  4. Step 4: Simplify right side
    133,810x = 99,770,698,225
  5. Step 5: Solve for x
    x = 99,770,698,225/133,810
  6. Step 6: Final answer
    x = 745,614.66

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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.