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Finding the Third Proportional to 78,033.38 and 117,870.75

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Solution

The third proportional to 78,033.38 and 117,870.75 is: 178,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.38 : 117,870.75 = 117,870.75 : x
  2. Step 2: Convert to fraction form
    78,033.38/117,870.75 = 117,870.75/x
  3. Step 3: Cross multiply
    78,033.38x = 117,870.75 × 117,870.75
  4. Step 4: Simplify right side
    78,033.38x = 13,893,513,705.56
  5. Step 5: Solve for x
    x = 13,893,513,705.56/78,033.38
  6. Step 6: Final answer
    x = 178,045.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.