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Finding the Third Proportional to 74,135 and 114,749

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Solution

The third proportional to 74,135 and 114,749 is: 177,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,135 : 114,749 = 114,749 : x
  2. Step 2: Convert to fraction form
    74,135/114,749 = 114,749/x
  3. Step 3: Cross multiply
    74,135x = 114,749 × 114,749
  4. Step 4: Simplify right side
    74,135x = 13,167,333,001
  5. Step 5: Solve for x
    x = 13,167,333,001/74,135
  6. Step 6: Final answer
    x = 177,612.91

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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.