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Finding the Third Proportional to 159,940 and 240,315

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Solution

The third proportional to 159,940 and 240,315 is: 361,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,940 : 240,315 = 240,315 : x
  2. Step 2: Convert to fraction form
    159,940/240,315 = 240,315/x
  3. Step 3: Cross multiply
    159,940x = 240,315 × 240,315
  4. Step 4: Simplify right side
    159,940x = 57,751,299,225
  5. Step 5: Solve for x
    x = 57,751,299,225/159,940
  6. Step 6: Final answer
    x = 361,081.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.