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Finding the Third Proportional to 145,782 and 315,744

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Solution

The third proportional to 145,782 and 315,744 is: 683,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,782 : 315,744 = 315,744 : x
  2. Step 2: Convert to fraction form
    145,782/315,744 = 315,744/x
  3. Step 3: Cross multiply
    145,782x = 315,744 × 315,744
  4. Step 4: Simplify right side
    145,782x = 99,694,273,536
  5. Step 5: Solve for x
    x = 99,694,273,536/145,782
  6. Step 6: Final answer
    x = 683,858.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.