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Finding the Third Proportional to 31,128 and 40,859

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Solution

The third proportional to 31,128 and 40,859 is: 53,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128 : 40,859 = 40,859 : x
  2. Step 2: Convert to fraction form
    31,128/40,859 = 40,859/x
  3. Step 3: Cross multiply
    31,128x = 40,859 × 40,859
  4. Step 4: Simplify right side
    31,128x = 1,669,457,881
  5. Step 5: Solve for x
    x = 1,669,457,881/31,128
  6. Step 6: Final answer
    x = 53,632.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.