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Finding the Third Proportional to 74,148 and 114,909

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Solution

The third proportional to 74,148 and 114,909 is: 178,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,148 : 114,909 = 114,909 : x
  2. Step 2: Convert to fraction form
    74,148/114,909 = 114,909/x
  3. Step 3: Cross multiply
    74,148x = 114,909 × 114,909
  4. Step 4: Simplify right side
    74,148x = 13,204,078,281
  5. Step 5: Solve for x
    x = 13,204,078,281/74,148
  6. Step 6: Final answer
    x = 178,077.34

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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.