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Finding the Third Proportional to 31,664 and 73,312

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Solution

The third proportional to 31,664 and 73,312 is: 169,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,664 : 73,312 = 73,312 : x
  2. Step 2: Convert to fraction form
    31,664/73,312 = 73,312/x
  3. Step 3: Cross multiply
    31,664x = 73,312 × 73,312
  4. Step 4: Simplify right side
    31,664x = 5,374,649,344
  5. Step 5: Solve for x
    x = 5,374,649,344/31,664
  6. Step 6: Final answer
    x = 169,740.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.