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Finding the Third Proportional to 74,167.31 and 117,920.81

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Solution

The third proportional to 74,167.31 and 117,920.81 is: 187,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,167.31 : 117,920.81 = 117,920.81 : x
  2. Step 2: Convert to fraction form
    74,167.31/117,920.81 = 117,920.81/x
  3. Step 3: Cross multiply
    74,167.31x = 117,920.81 × 117,920.81
  4. Step 4: Simplify right side
    74,167.31x = 13,905,318,020.66
  5. Step 5: Solve for x
    x = 13,905,318,020.66/74,167.31
  6. Step 6: Final answer
    x = 187,485.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.