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Finding the Third Proportional to 115,477.50 and 240,135

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Solution

The third proportional to 115,477.50 and 240,135 is: 499,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,477.50 : 240,135 = 240,135 : x
  2. Step 2: Convert to fraction form
    115,477.50/240,135 = 240,135/x
  3. Step 3: Cross multiply
    115,477.50x = 240,135 × 240,135
  4. Step 4: Simplify right side
    115,477.50x = 57,664,818,225
  5. Step 5: Solve for x
    x = 57,664,818,225/115,477.50
  6. Step 6: Final answer
    x = 499,359.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.