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Finding the Third Proportional to 62,475 and 140,631

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Solution

The third proportional to 62,475 and 140,631 is: 316,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,475 : 140,631 = 140,631 : x
  2. Step 2: Convert to fraction form
    62,475/140,631 = 140,631/x
  3. Step 3: Cross multiply
    62,475x = 140,631 × 140,631
  4. Step 4: Simplify right side
    62,475x = 19,777,078,161
  5. Step 5: Solve for x
    x = 19,777,078,161/62,475
  6. Step 6: Final answer
    x = 316,559.87

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.