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Finding the Third Proportional to 114,909 and 178,378.50

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Solution

The third proportional to 114,909 and 178,378.50 is: 276,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,909 : 178,378.50 = 178,378.50 : x
  2. Step 2: Convert to fraction form
    114,909/178,378.50 = 178,378.50/x
  3. Step 3: Cross multiply
    114,909x = 178,378.50 × 178,378.50
  4. Step 4: Simplify right side
    114,909x = 31,818,889,262.25
  5. Step 5: Solve for x
    x = 31,818,889,262.25/114,909
  6. Step 6: Final answer
    x = 276,905.11

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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.