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Finding the Third Proportional to 140,822.30 and 290,939.34

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Solution

The third proportional to 140,822.30 and 290,939.34 is: 601,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,822.30 : 290,939.34 = 290,939.34 : x
  2. Step 2: Convert to fraction form
    140,822.30/290,939.34 = 290,939.34/x
  3. Step 3: Cross multiply
    140,822.30x = 290,939.34 × 290,939.34
  4. Step 4: Simplify right side
    140,822.30x = 84,645,701,741.68
  5. Step 5: Solve for x
    x = 84,645,701,741.68/140,822.30
  6. Step 6: Final answer
    x = 601,081.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.