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Finding the Third Proportional to 31,582 and 73,121

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Solution

The third proportional to 31,582 and 73,121 is: 169,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582 : 73,121 = 73,121 : x
  2. Step 2: Convert to fraction form
    31,582/73,121 = 73,121/x
  3. Step 3: Cross multiply
    31,582x = 73,121 × 73,121
  4. Step 4: Simplify right side
    31,582x = 5,346,680,641
  5. Step 5: Solve for x
    x = 5,346,680,641/31,582
  6. Step 6: Final answer
    x = 169,295.19

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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.