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Finding the Third Proportional to 31,974 and 74,681

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Solution

The third proportional to 31,974 and 74,681 is: 174,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974 : 74,681 = 74,681 : x
  2. Step 2: Convert to fraction form
    31,974/74,681 = 74,681/x
  3. Step 3: Cross multiply
    31,974x = 74,681 × 74,681
  4. Step 4: Simplify right side
    31,974x = 5,577,251,761
  5. Step 5: Solve for x
    x = 5,577,251,761/31,974
  6. Step 6: Final answer
    x = 174,430.84

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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.