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Finding the Third Proportional to 240,165 and 343,237.50

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Solution

The third proportional to 240,165 and 343,237.50 is: 490,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,165 : 343,237.50 = 343,237.50 : x
  2. Step 2: Convert to fraction form
    240,165/343,237.50 = 343,237.50/x
  3. Step 3: Cross multiply
    240,165x = 343,237.50 × 343,237.50
  4. Step 4: Simplify right side
    240,165x = 117,811,981,406.25
  5. Step 5: Solve for x
    x = 117,811,981,406.25/240,165
  6. Step 6: Final answer
    x = 490,546.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.