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Finding the Third Proportional to 74,138.34 and 114,894.28

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Solution

The third proportional to 74,138.34 and 114,894.28 is: 178,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138.34 : 114,894.28 = 114,894.28 : x
  2. Step 2: Convert to fraction form
    74,138.34/114,894.28 = 114,894.28/x
  3. Step 3: Cross multiply
    74,138.34x = 114,894.28 × 114,894.28
  4. Step 4: Simplify right side
    74,138.34x = 13,200,695,863.95
  5. Step 5: Solve for x
    x = 13,200,695,863.95/74,138.34
  6. Step 6: Final answer
    x = 178,054.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.