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Finding the Third Proportional to 31,914 and 74,543.63

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Solution

The third proportional to 31,914 and 74,543.63 is: 174,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 74,543.63 = 74,543.63 : x
  2. Step 2: Convert to fraction form
    31,914/74,543.63 = 74,543.63/x
  3. Step 3: Cross multiply
    31,914x = 74,543.63 × 74,543.63
  4. Step 4: Simplify right side
    31,914x = 5,556,752,028.14
  5. Step 5: Solve for x
    x = 5,556,752,028.14/31,914
  6. Step 6: Final answer
    x = 174,116.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.