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Finding the Third Proportional to 31,257 and 73,740.38

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Solution

The third proportional to 31,257 and 73,740.38 is: 173,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 73,740.38 = 73,740.38 : x
  2. Step 2: Convert to fraction form
    31,257/73,740.38 = 73,740.38/x
  3. Step 3: Cross multiply
    31,257x = 73,740.38 × 73,740.38
  4. Step 4: Simplify right side
    31,257x = 5,437,642,905.14
  5. Step 5: Solve for x
    x = 5,437,642,905.14/31,257
  6. Step 6: Final answer
    x = 173,965.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.