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Finding the Third Proportional to 31,693 and 68,570

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Solution

The third proportional to 31,693 and 68,570 is: 148,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693 : 68,570 = 68,570 : x
  2. Step 2: Convert to fraction form
    31,693/68,570 = 68,570/x
  3. Step 3: Cross multiply
    31,693x = 68,570 × 68,570
  4. Step 4: Simplify right side
    31,693x = 4,701,844,900
  5. Step 5: Solve for x
    x = 4,701,844,900/31,693
  6. Step 6: Final answer
    x = 148,355.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.