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Finding the Third Proportional to 31,720 and 68,312

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Solution

The third proportional to 31,720 and 68,312 is: 147,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720 : 68,312 = 68,312 : x
  2. Step 2: Convert to fraction form
    31,720/68,312 = 68,312/x
  3. Step 3: Cross multiply
    31,720x = 68,312 × 68,312
  4. Step 4: Simplify right side
    31,720x = 4,666,529,344
  5. Step 5: Solve for x
    x = 4,666,529,344/31,720
  6. Step 6: Final answer
    x = 147,116.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.